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Simplifying -2w + 48 = 7(w + 3) Reorder the terms: 48 + -2w = 7(w + 3) Reorder the terms: 48 + -2w = 7(3 + w) 48 + -2w = (3 * 7 + w * 7) 48 + -2w = (21 + 7w) Solving 48 + -2w = 21 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 48 + -2w + -7w = 21 + 7w + -7w Combine like terms: -2w + -7w = -9w 48 + -9w = 21 + 7w + -7w Combine like terms: 7w + -7w = 0 48 + -9w = 21 + 0 48 + -9w = 21 Add '-48' to each side of the equation. 48 + -48 + -9w = 21 + -48 Combine like terms: 48 + -48 = 0 0 + -9w = 21 + -48 -9w = 21 + -48 Combine like terms: 21 + -48 = -27 -9w = -27 Divide each side by '-9'. w = 3 Simplifying w = 3
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