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Simplifying -5(10w + 18) = 15w + 7(-9w + -4) Reorder the terms: -5(18 + 10w) = 15w + 7(-9w + -4) (18 * -5 + 10w * -5) = 15w + 7(-9w + -4) (-90 + -50w) = 15w + 7(-9w + -4) Reorder the terms: -90 + -50w = 15w + 7(-4 + -9w) -90 + -50w = 15w + (-4 * 7 + -9w * 7) -90 + -50w = 15w + (-28 + -63w) Reorder the terms: -90 + -50w = -28 + 15w + -63w Combine like terms: 15w + -63w = -48w -90 + -50w = -28 + -48w Solving -90 + -50w = -28 + -48w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '48w' to each side of the equation. -90 + -50w + 48w = -28 + -48w + 48w Combine like terms: -50w + 48w = -2w -90 + -2w = -28 + -48w + 48w Combine like terms: -48w + 48w = 0 -90 + -2w = -28 + 0 -90 + -2w = -28 Add '90' to each side of the equation. -90 + 90 + -2w = -28 + 90 Combine like terms: -90 + 90 = 0 0 + -2w = -28 + 90 -2w = -28 + 90 Combine like terms: -28 + 90 = 62 -2w = 62 Divide each side by '-2'. w = -31 Simplifying w = -31
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