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Simplifying 8(w + 2) + -3w = 7(w + 2) + 2(1 + -1w) Reorder the terms: 8(2 + w) + -3w = 7(w + 2) + 2(1 + -1w) (2 * 8 + w * 8) + -3w = 7(w + 2) + 2(1 + -1w) (16 + 8w) + -3w = 7(w + 2) + 2(1 + -1w) Combine like terms: 8w + -3w = 5w 16 + 5w = 7(w + 2) + 2(1 + -1w) Reorder the terms: 16 + 5w = 7(2 + w) + 2(1 + -1w) 16 + 5w = (2 * 7 + w * 7) + 2(1 + -1w) 16 + 5w = (14 + 7w) + 2(1 + -1w) 16 + 5w = 14 + 7w + (1 * 2 + -1w * 2) 16 + 5w = 14 + 7w + (2 + -2w) Reorder the terms: 16 + 5w = 14 + 2 + 7w + -2w Combine like terms: 14 + 2 = 16 16 + 5w = 16 + 7w + -2w Combine like terms: 7w + -2w = 5w 16 + 5w = 16 + 5w Add '-16' to each side of the equation. 16 + -16 + 5w = 16 + -16 + 5w Combine like terms: 16 + -16 = 0 0 + 5w = 16 + -16 + 5w 5w = 16 + -16 + 5w Combine like terms: 16 + -16 = 0 5w = 0 + 5w 5w = 5w Add '-5w' to each side of the equation. 5w + -5w = 5w + -5w Combine like terms: 5w + -5w = 0 0 = 5w + -5w Combine like terms: 5w + -5w = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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