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Simplifying 4(w + -7) + -6 = -4(-2w + 8) + -8w Reorder the terms: 4(-7 + w) + -6 = -4(-2w + 8) + -8w (-7 * 4 + w * 4) + -6 = -4(-2w + 8) + -8w (-28 + 4w) + -6 = -4(-2w + 8) + -8w Reorder the terms: -28 + -6 + 4w = -4(-2w + 8) + -8w Combine like terms: -28 + -6 = -34 -34 + 4w = -4(-2w + 8) + -8w Reorder the terms: -34 + 4w = -4(8 + -2w) + -8w -34 + 4w = (8 * -4 + -2w * -4) + -8w -34 + 4w = (-32 + 8w) + -8w Combine like terms: 8w + -8w = 0 -34 + 4w = -32 + 0 -34 + 4w = -32 Solving -34 + 4w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 4w = -32 + 34 Combine like terms: -34 + 34 = 0 0 + 4w = -32 + 34 4w = -32 + 34 Combine like terms: -32 + 34 = 2 4w = 2 Divide each side by '4'. w = 0.5 Simplifying w = 0.5
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