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Simplifying 4(w + -2) + -4 = -2(-3w + 7) + -8w Reorder the terms: 4(-2 + w) + -4 = -2(-3w + 7) + -8w (-2 * 4 + w * 4) + -4 = -2(-3w + 7) + -8w (-8 + 4w) + -4 = -2(-3w + 7) + -8w Reorder the terms: -8 + -4 + 4w = -2(-3w + 7) + -8w Combine like terms: -8 + -4 = -12 -12 + 4w = -2(-3w + 7) + -8w Reorder the terms: -12 + 4w = -2(7 + -3w) + -8w -12 + 4w = (7 * -2 + -3w * -2) + -8w -12 + 4w = (-14 + 6w) + -8w Combine like terms: 6w + -8w = -2w -12 + 4w = -14 + -2w Solving -12 + 4w = -14 + -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. -12 + 4w + 2w = -14 + -2w + 2w Combine like terms: 4w + 2w = 6w -12 + 6w = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 -12 + 6w = -14 + 0 -12 + 6w = -14 Add '12' to each side of the equation. -12 + 12 + 6w = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 6w = -14 + 12 6w = -14 + 12 Combine like terms: -14 + 12 = -2 6w = -2 Divide each side by '6'. w = -0.3333333333 Simplifying w = -0.3333333333
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