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Simplifying -8w + -11 = 5 + 7(w + 8) Reorder the terms: -11 + -8w = 5 + 7(w + 8) Reorder the terms: -11 + -8w = 5 + 7(8 + w) -11 + -8w = 5 + (8 * 7 + w * 7) -11 + -8w = 5 + (56 + 7w) Combine like terms: 5 + 56 = 61 -11 + -8w = 61 + 7w Solving -11 + -8w = 61 + 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. -11 + -8w + -7w = 61 + 7w + -7w Combine like terms: -8w + -7w = -15w -11 + -15w = 61 + 7w + -7w Combine like terms: 7w + -7w = 0 -11 + -15w = 61 + 0 -11 + -15w = 61 Add '11' to each side of the equation. -11 + 11 + -15w = 61 + 11 Combine like terms: -11 + 11 = 0 0 + -15w = 61 + 11 -15w = 61 + 11 Combine like terms: 61 + 11 = 72 -15w = 72 Divide each side by '-15'. w = -4.8 Simplifying w = -4.8
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