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Simplifying 4(w + -6) + -1 = -7(-4w + 4) + -9w Reorder the terms: 4(-6 + w) + -1 = -7(-4w + 4) + -9w (-6 * 4 + w * 4) + -1 = -7(-4w + 4) + -9w (-24 + 4w) + -1 = -7(-4w + 4) + -9w Reorder the terms: -24 + -1 + 4w = -7(-4w + 4) + -9w Combine like terms: -24 + -1 = -25 -25 + 4w = -7(-4w + 4) + -9w Reorder the terms: -25 + 4w = -7(4 + -4w) + -9w -25 + 4w = (4 * -7 + -4w * -7) + -9w -25 + 4w = (-28 + 28w) + -9w Combine like terms: 28w + -9w = 19w -25 + 4w = -28 + 19w Solving -25 + 4w = -28 + 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. -25 + 4w + -19w = -28 + 19w + -19w Combine like terms: 4w + -19w = -15w -25 + -15w = -28 + 19w + -19w Combine like terms: 19w + -19w = 0 -25 + -15w = -28 + 0 -25 + -15w = -28 Add '25' to each side of the equation. -25 + 25 + -15w = -28 + 25 Combine like terms: -25 + 25 = 0 0 + -15w = -28 + 25 -15w = -28 + 25 Combine like terms: -28 + 25 = -3 -15w = -3 Divide each side by '-15'. w = 0.2 Simplifying w = 0.2
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