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Simplifying -5(w + 1) + -1w + -8 = -6(w + 5) + 17 Reorder the terms: -5(1 + w) + -1w + -8 = -6(w + 5) + 17 (1 * -5 + w * -5) + -1w + -8 = -6(w + 5) + 17 (-5 + -5w) + -1w + -8 = -6(w + 5) + 17 Reorder the terms: -5 + -8 + -5w + -1w = -6(w + 5) + 17 Combine like terms: -5 + -8 = -13 -13 + -5w + -1w = -6(w + 5) + 17 Combine like terms: -5w + -1w = -6w -13 + -6w = -6(w + 5) + 17 Reorder the terms: -13 + -6w = -6(5 + w) + 17 -13 + -6w = (5 * -6 + w * -6) + 17 -13 + -6w = (-30 + -6w) + 17 Reorder the terms: -13 + -6w = -30 + 17 + -6w Combine like terms: -30 + 17 = -13 -13 + -6w = -13 + -6w Add '13' to each side of the equation. -13 + 13 + -6w = -13 + 13 + -6w Combine like terms: -13 + 13 = 0 0 + -6w = -13 + 13 + -6w -6w = -13 + 13 + -6w Combine like terms: -13 + 13 = 0 -6w = 0 + -6w -6w = -6w Add '6w' to each side of the equation. -6w + 6w = -6w + 6w Combine like terms: -6w + 6w = 0 0 = -6w + 6w Combine like terms: -6w + 6w = 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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