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Simplifying -4(w + 1) + -1w + -12 = -5(w + 5) + 9 Reorder the terms: -4(1 + w) + -1w + -12 = -5(w + 5) + 9 (1 * -4 + w * -4) + -1w + -12 = -5(w + 5) + 9 (-4 + -4w) + -1w + -12 = -5(w + 5) + 9 Reorder the terms: -4 + -12 + -4w + -1w = -5(w + 5) + 9 Combine like terms: -4 + -12 = -16 -16 + -4w + -1w = -5(w + 5) + 9 Combine like terms: -4w + -1w = -5w -16 + -5w = -5(w + 5) + 9 Reorder the terms: -16 + -5w = -5(5 + w) + 9 -16 + -5w = (5 * -5 + w * -5) + 9 -16 + -5w = (-25 + -5w) + 9 Reorder the terms: -16 + -5w = -25 + 9 + -5w Combine like terms: -25 + 9 = -16 -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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