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Simplifying -6(-13w + 18) + -15 = -9(-10w + 3) Reorder the terms: -6(18 + -13w) + -15 = -9(-10w + 3) (18 * -6 + -13w * -6) + -15 = -9(-10w + 3) (-108 + 78w) + -15 = -9(-10w + 3) Reorder the terms: -108 + -15 + 78w = -9(-10w + 3) Combine like terms: -108 + -15 = -123 -123 + 78w = -9(-10w + 3) Reorder the terms: -123 + 78w = -9(3 + -10w) -123 + 78w = (3 * -9 + -10w * -9) -123 + 78w = (-27 + 90w) Solving -123 + 78w = -27 + 90w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-90w' to each side of the equation. -123 + 78w + -90w = -27 + 90w + -90w Combine like terms: 78w + -90w = -12w -123 + -12w = -27 + 90w + -90w Combine like terms: 90w + -90w = 0 -123 + -12w = -27 + 0 -123 + -12w = -27 Add '123' to each side of the equation. -123 + 123 + -12w = -27 + 123 Combine like terms: -123 + 123 = 0 0 + -12w = -27 + 123 -12w = -27 + 123 Combine like terms: -27 + 123 = 96 -12w = 96 Divide each side by '-12'. w = -8 Simplifying w = -8
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