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Simplifying 3(w + -3) + -9 = -4(-5w + 6) + -7w Reorder the terms: 3(-3 + w) + -9 = -4(-5w + 6) + -7w (-3 * 3 + w * 3) + -9 = -4(-5w + 6) + -7w (-9 + 3w) + -9 = -4(-5w + 6) + -7w Reorder the terms: -9 + -9 + 3w = -4(-5w + 6) + -7w Combine like terms: -9 + -9 = -18 -18 + 3w = -4(-5w + 6) + -7w Reorder the terms: -18 + 3w = -4(6 + -5w) + -7w -18 + 3w = (6 * -4 + -5w * -4) + -7w -18 + 3w = (-24 + 20w) + -7w Combine like terms: 20w + -7w = 13w -18 + 3w = -24 + 13w Solving -18 + 3w = -24 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -18 + 3w + -13w = -24 + 13w + -13w Combine like terms: 3w + -13w = -10w -18 + -10w = -24 + 13w + -13w Combine like terms: 13w + -13w = 0 -18 + -10w = -24 + 0 -18 + -10w = -24 Add '18' to each side of the equation. -18 + 18 + -10w = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -10w = -24 + 18 -10w = -24 + 18 Combine like terms: -24 + 18 = -6 -10w = -6 Divide each side by '-10'. w = 0.6 Simplifying w = 0.6
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