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Simplifying -5(-3w + 6) + -7w = 2(w + -7) + -6 Reorder the terms: -5(6 + -3w) + -7w = 2(w + -7) + -6 (6 * -5 + -3w * -5) + -7w = 2(w + -7) + -6 (-30 + 15w) + -7w = 2(w + -7) + -6 Combine like terms: 15w + -7w = 8w -30 + 8w = 2(w + -7) + -6 Reorder the terms: -30 + 8w = 2(-7 + w) + -6 -30 + 8w = (-7 * 2 + w * 2) + -6 -30 + 8w = (-14 + 2w) + -6 Reorder the terms: -30 + 8w = -14 + -6 + 2w Combine like terms: -14 + -6 = -20 -30 + 8w = -20 + 2w Solving -30 + 8w = -20 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -30 + 8w + -2w = -20 + 2w + -2w Combine like terms: 8w + -2w = 6w -30 + 6w = -20 + 2w + -2w Combine like terms: 2w + -2w = 0 -30 + 6w = -20 + 0 -30 + 6w = -20 Add '30' to each side of the equation. -30 + 30 + 6w = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 6w = -20 + 30 6w = -20 + 30 Combine like terms: -20 + 30 = 10 6w = 10 Divide each side by '6'. w = 1.666666667 Simplifying w = 1.666666667
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