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Simplifying -4(w + 3) + -1w + -7 = -5(w + 5) + 6 Reorder the terms: -4(3 + w) + -1w + -7 = -5(w + 5) + 6 (3 * -4 + w * -4) + -1w + -7 = -5(w + 5) + 6 (-12 + -4w) + -1w + -7 = -5(w + 5) + 6 Reorder the terms: -12 + -7 + -4w + -1w = -5(w + 5) + 6 Combine like terms: -12 + -7 = -19 -19 + -4w + -1w = -5(w + 5) + 6 Combine like terms: -4w + -1w = -5w -19 + -5w = -5(w + 5) + 6 Reorder the terms: -19 + -5w = -5(5 + w) + 6 -19 + -5w = (5 * -5 + w * -5) + 6 -19 + -5w = (-25 + -5w) + 6 Reorder the terms: -19 + -5w = -25 + 6 + -5w Combine like terms: -25 + 6 = -19 -19 + -5w = -19 + -5w Add '19' to each side of the equation. -19 + 19 + -5w = -19 + 19 + -5w Combine like terms: -19 + 19 = 0 0 + -5w = -19 + 19 + -5w -5w = -19 + 19 + -5w Combine like terms: -19 + 19 = 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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