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Simplifying -2w + -28 = 7(w + 5) Reorder the terms: -28 + -2w = 7(w + 5) Reorder the terms: -28 + -2w = 7(5 + w) -28 + -2w = (5 * 7 + w * 7) -28 + -2w = (35 + 7w) Solving -28 + -2w = 35 + 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. -28 + -2w + -7w = 35 + 7w + -7w Combine like terms: -2w + -7w = -9w -28 + -9w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 -28 + -9w = 35 + 0 -28 + -9w = 35 Add '28' to each side of the equation. -28 + 28 + -9w = 35 + 28 Combine like terms: -28 + 28 = 0 0 + -9w = 35 + 28 -9w = 35 + 28 Combine like terms: 35 + 28 = 63 -9w = 63 Divide each side by '-9'. w = -7 Simplifying w = -7
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