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Simplifying 5(w + -6) + -7 = -3(-6w + 7) + -3 Reorder the terms: 5(-6 + w) + -7 = -3(-6w + 7) + -3 (-6 * 5 + w * 5) + -7 = -3(-6w + 7) + -3 (-30 + 5w) + -7 = -3(-6w + 7) + -3 Reorder the terms: -30 + -7 + 5w = -3(-6w + 7) + -3 Combine like terms: -30 + -7 = -37 -37 + 5w = -3(-6w + 7) + -3 Reorder the terms: -37 + 5w = -3(7 + -6w) + -3 -37 + 5w = (7 * -3 + -6w * -3) + -3 -37 + 5w = (-21 + 18w) + -3 Reorder the terms: -37 + 5w = -21 + -3 + 18w Combine like terms: -21 + -3 = -24 -37 + 5w = -24 + 18w Solving -37 + 5w = -24 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -37 + 5w + -18w = -24 + 18w + -18w Combine like terms: 5w + -18w = -13w -37 + -13w = -24 + 18w + -18w Combine like terms: 18w + -18w = 0 -37 + -13w = -24 + 0 -37 + -13w = -24 Add '37' to each side of the equation. -37 + 37 + -13w = -24 + 37 Combine like terms: -37 + 37 = 0 0 + -13w = -24 + 37 -13w = -24 + 37 Combine like terms: -24 + 37 = 13 -13w = 13 Divide each side by '-13'. w = -1 Simplifying w = -1
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