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Simplifying -4(w + 1) + -1w + -9 = -5(w + 4) + 7 Reorder the terms: -4(1 + w) + -1w + -9 = -5(w + 4) + 7 (1 * -4 + w * -4) + -1w + -9 = -5(w + 4) + 7 (-4 + -4w) + -1w + -9 = -5(w + 4) + 7 Reorder the terms: -4 + -9 + -4w + -1w = -5(w + 4) + 7 Combine like terms: -4 + -9 = -13 -13 + -4w + -1w = -5(w + 4) + 7 Combine like terms: -4w + -1w = -5w -13 + -5w = -5(w + 4) + 7 Reorder the terms: -13 + -5w = -5(4 + w) + 7 -13 + -5w = (4 * -5 + w * -5) + 7 -13 + -5w = (-20 + -5w) + 7 Reorder the terms: -13 + -5w = -20 + 7 + -5w Combine like terms: -20 + 7 = -13 -13 + -5w = -13 + -5w Add '13' to each side of the equation. -13 + 13 + -5w = -13 + 13 + -5w Combine like terms: -13 + 13 = 0 0 + -5w = -13 + 13 + -5w -5w = -13 + 13 + -5w Combine like terms: -13 + 13 = 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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