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Simplifying -4(-7w + 9) + -8w = 2(w + -6) + -9 Reorder the terms: -4(9 + -7w) + -8w = 2(w + -6) + -9 (9 * -4 + -7w * -4) + -8w = 2(w + -6) + -9 (-36 + 28w) + -8w = 2(w + -6) + -9 Combine like terms: 28w + -8w = 20w -36 + 20w = 2(w + -6) + -9 Reorder the terms: -36 + 20w = 2(-6 + w) + -9 -36 + 20w = (-6 * 2 + w * 2) + -9 -36 + 20w = (-12 + 2w) + -9 Reorder the terms: -36 + 20w = -12 + -9 + 2w Combine like terms: -12 + -9 = -21 -36 + 20w = -21 + 2w Solving -36 + 20w = -21 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -36 + 20w + -2w = -21 + 2w + -2w Combine like terms: 20w + -2w = 18w -36 + 18w = -21 + 2w + -2w Combine like terms: 2w + -2w = 0 -36 + 18w = -21 + 0 -36 + 18w = -21 Add '36' to each side of the equation. -36 + 36 + 18w = -21 + 36 Combine like terms: -36 + 36 = 0 0 + 18w = -21 + 36 18w = -21 + 36 Combine like terms: -21 + 36 = 15 18w = 15 Divide each side by '18'. w = 0.8333333333 Simplifying w = 0.8333333333
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