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Simplifying 7(w + -4) = 9w + -48 Reorder the terms: 7(-4 + w) = 9w + -48 (-4 * 7 + w * 7) = 9w + -48 (-28 + 7w) = 9w + -48 Reorder the terms: -28 + 7w = -48 + 9w Solving -28 + 7w = -48 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -28 + 7w + -9w = -48 + 9w + -9w Combine like terms: 7w + -9w = -2w -28 + -2w = -48 + 9w + -9w Combine like terms: 9w + -9w = 0 -28 + -2w = -48 + 0 -28 + -2w = -48 Add '28' to each side of the equation. -28 + 28 + -2w = -48 + 28 Combine like terms: -28 + 28 = 0 0 + -2w = -48 + 28 -2w = -48 + 28 Combine like terms: -48 + 28 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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