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Simplifying -5(w + 3) + -1w + -4 = -6(w + 5) + 11 Reorder the terms: -5(3 + w) + -1w + -4 = -6(w + 5) + 11 (3 * -5 + w * -5) + -1w + -4 = -6(w + 5) + 11 (-15 + -5w) + -1w + -4 = -6(w + 5) + 11 Reorder the terms: -15 + -4 + -5w + -1w = -6(w + 5) + 11 Combine like terms: -15 + -4 = -19 -19 + -5w + -1w = -6(w + 5) + 11 Combine like terms: -5w + -1w = -6w -19 + -6w = -6(w + 5) + 11 Reorder the terms: -19 + -6w = -6(5 + w) + 11 -19 + -6w = (5 * -6 + w * -6) + 11 -19 + -6w = (-30 + -6w) + 11 Reorder the terms: -19 + -6w = -30 + 11 + -6w Combine like terms: -30 + 11 = -19 -19 + -6w = -19 + -6w Add '19' to each side of the equation. -19 + 19 + -6w = -19 + 19 + -6w Combine like terms: -19 + 19 = 0 0 + -6w = -19 + 19 + -6w -6w = -19 + 19 + -6w Combine like terms: -19 + 19 = 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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