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Simplifying 5(w + 1) + -1w = 4(w + -1) + 9 Reorder the terms: 5(1 + w) + -1w = 4(w + -1) + 9 (1 * 5 + w * 5) + -1w = 4(w + -1) + 9 (5 + 5w) + -1w = 4(w + -1) + 9 Combine like terms: 5w + -1w = 4w 5 + 4w = 4(w + -1) + 9 Reorder the terms: 5 + 4w = 4(-1 + w) + 9 5 + 4w = (-1 * 4 + w * 4) + 9 5 + 4w = (-4 + 4w) + 9 Reorder the terms: 5 + 4w = -4 + 9 + 4w Combine like terms: -4 + 9 = 5 5 + 4w = 5 + 4w Add '-5' to each side of the equation. 5 + -5 + 4w = 5 + -5 + 4w Combine like terms: 5 + -5 = 0 0 + 4w = 5 + -5 + 4w 4w = 5 + -5 + 4w Combine like terms: 5 + -5 = 0 4w = 0 + 4w 4w = 4w Add '-4w' to each side of the equation. 4w + -4w = 4w + -4w Combine like terms: 4w + -4w = 0 0 = 4w + -4w Combine like terms: 4w + -4w = 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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