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Simplifying -8(-9w + 20) + -2 = -6(-13w + 12) Reorder the terms: -8(20 + -9w) + -2 = -6(-13w + 12) (20 * -8 + -9w * -8) + -2 = -6(-13w + 12) (-160 + 72w) + -2 = -6(-13w + 12) Reorder the terms: -160 + -2 + 72w = -6(-13w + 12) Combine like terms: -160 + -2 = -162 -162 + 72w = -6(-13w + 12) Reorder the terms: -162 + 72w = -6(12 + -13w) -162 + 72w = (12 * -6 + -13w * -6) -162 + 72w = (-72 + 78w) Solving -162 + 72w = -72 + 78w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-78w' to each side of the equation. -162 + 72w + -78w = -72 + 78w + -78w Combine like terms: 72w + -78w = -6w -162 + -6w = -72 + 78w + -78w Combine like terms: 78w + -78w = 0 -162 + -6w = -72 + 0 -162 + -6w = -72 Add '162' to each side of the equation. -162 + 162 + -6w = -72 + 162 Combine like terms: -162 + 162 = 0 0 + -6w = -72 + 162 -6w = -72 + 162 Combine like terms: -72 + 162 = 90 -6w = 90 Divide each side by '-6'. w = -15 Simplifying w = -15
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