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Simplifying -5(w + -7) + -1(6w + -2) = -12w Reorder the terms: -5(-7 + w) + -1(6w + -2) = -12w (-7 * -5 + w * -5) + -1(6w + -2) = -12w (35 + -5w) + -1(6w + -2) = -12w Reorder the terms: 35 + -5w + -1(-2 + 6w) = -12w 35 + -5w + (-2 * -1 + 6w * -1) = -12w 35 + -5w + (2 + -6w) = -12w Reorder the terms: 35 + 2 + -5w + -6w = -12w Combine like terms: 35 + 2 = 37 37 + -5w + -6w = -12w Combine like terms: -5w + -6w = -11w 37 + -11w = -12w Solving 37 + -11w = -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 37 + -11w + 12w = -12w + 12w Combine like terms: -11w + 12w = 1w 37 + 1w = -12w + 12w Combine like terms: -12w + 12w = 0 37 + 1w = 0 Add '-37' to each side of the equation. 37 + -37 + 1w = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 1w = 0 + -37 1w = 0 + -37 Combine like terms: 0 + -37 = -37 1w = -37 Divide each side by '1'. w = -37 Simplifying w = -37
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