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Simplifying -7(w + -6) + -1(7w + -6) = -15w Reorder the terms: -7(-6 + w) + -1(7w + -6) = -15w (-6 * -7 + w * -7) + -1(7w + -6) = -15w (42 + -7w) + -1(7w + -6) = -15w Reorder the terms: 42 + -7w + -1(-6 + 7w) = -15w 42 + -7w + (-6 * -1 + 7w * -1) = -15w 42 + -7w + (6 + -7w) = -15w Reorder the terms: 42 + 6 + -7w + -7w = -15w Combine like terms: 42 + 6 = 48 48 + -7w + -7w = -15w Combine like terms: -7w + -7w = -14w 48 + -14w = -15w Solving 48 + -14w = -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 48 + -14w + 15w = -15w + 15w Combine like terms: -14w + 15w = 1w 48 + 1w = -15w + 15w Combine like terms: -15w + 15w = 0 48 + 1w = 0 Add '-48' to each side of the equation. 48 + -48 + 1w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 1w = 0 + -48 1w = 0 + -48 Combine like terms: 0 + -48 = -48 1w = -48 Divide each side by '1'. w = -48 Simplifying w = -48
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