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Simplifying 4(w + 1) + -1w = 3(w + -1) + 7 Reorder the terms: 4(1 + w) + -1w = 3(w + -1) + 7 (1 * 4 + w * 4) + -1w = 3(w + -1) + 7 (4 + 4w) + -1w = 3(w + -1) + 7 Combine like terms: 4w + -1w = 3w 4 + 3w = 3(w + -1) + 7 Reorder the terms: 4 + 3w = 3(-1 + w) + 7 4 + 3w = (-1 * 3 + w * 3) + 7 4 + 3w = (-3 + 3w) + 7 Reorder the terms: 4 + 3w = -3 + 7 + 3w Combine like terms: -3 + 7 = 4 4 + 3w = 4 + 3w Add '-4' to each side of the equation. 4 + -4 + 3w = 4 + -4 + 3w Combine like terms: 4 + -4 = 0 0 + 3w = 4 + -4 + 3w 3w = 4 + -4 + 3w Combine like terms: 4 + -4 = 0 3w = 0 + 3w 3w = 3w Add '-3w' to each side of the equation. 3w + -3w = 3w + -3w Combine like terms: 3w + -3w = 0 0 = 3w + -3w Combine like terms: 3w + -3w = 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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