Simplify each expression and find its value when w = 7.(w) 2w + 3w + 4 = (b) 12w - 6w + 1 = (c) 7w - 13 - 3w =
Question
Simplify each expression and find its value when w = 7.(w) 2w + 3w + 4 = (b) 12w - 6w + 1 = (c) 7w - 13 - 3w =
Solution
(a) The expression is 2w + 3w + 4. First, combine like terms: 2w + 3w becomes 5w. So the expression simplifies to 5w + 4. Now, substitute w = 7 into the expression: 5(7) + 4 = 35 + 4 = 39.
(b) The expression is 12w - 6w + 1. First, combine like terms: 12w - 6w becomes 6w. So the expression simplifies to 6w + 1. Now, substitute w = 7 into the expression: 6(7) + 1 = 42 + 1 = 43.
(c) The expression is 7w - 13 - 3w. First, combine like terms: 7w - 3w becomes 4w. So the expression simplifies to 4w - 13. Now, substitute w = 7 into the expression: 4(7) - 13 = 28 - 13 = 15.
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