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Simplifying 4(w + -2) + -7 = -4(-5w + 3) + -1w Reorder the terms: 4(-2 + w) + -7 = -4(-5w + 3) + -1w (-2 * 4 + w * 4) + -7 = -4(-5w + 3) + -1w (-8 + 4w) + -7 = -4(-5w + 3) + -1w Reorder the terms: -8 + -7 + 4w = -4(-5w + 3) + -1w Combine like terms: -8 + -7 = -15 -15 + 4w = -4(-5w + 3) + -1w Reorder the terms: -15 + 4w = -4(3 + -5w) + -1w -15 + 4w = (3 * -4 + -5w * -4) + -1w -15 + 4w = (-12 + 20w) + -1w Combine like terms: 20w + -1w = 19w -15 + 4w = -12 + 19w Solving -15 + 4w = -12 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -15 + 4w + -19w = -12 + 19w + -19w Combine like terms: 4w + -19w = -15w -15 + -15w = -12 + 19w + -19w Combine like terms: 19w + -19w = 0 -15 + -15w = -12 + 0 -15 + -15w = -12 Add '15' to each side of the equation. -15 + 15 + -15w = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -15w = -12 + 15 -15w = -12 + 15 Combine like terms: -12 + 15 = 3 -15w = 3 Divide each side by '-15'. w = -0.2 Simplifying w = -0.2
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