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