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Simplifying -3(-8w + 2) + -7w = 2(w + -7) + -4 Reorder the terms: -3(2 + -8w) + -7w = 2(w + -7) + -4 (2 * -3 + -8w * -3) + -7w = 2(w + -7) + -4 (-6 + 24w) + -7w = 2(w + -7) + -4 Combine like terms: 24w + -7w = 17w -6 + 17w = 2(w + -7) + -4 Reorder the terms: -6 + 17w = 2(-7 + w) + -4 -6 + 17w = (-7 * 2 + w * 2) + -4 -6 + 17w = (-14 + 2w) + -4 Reorder the terms: -6 + 17w = -14 + -4 + 2w Combine like terms: -14 + -4 = -18 -6 + 17w = -18 + 2w Solving -6 + 17w = -18 + 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. -6 + 17w + -2w = -18 + 2w + -2w Combine like terms: 17w + -2w = 15w -6 + 15w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + 15w = -18 + 0 -6 + 15w = -18 Add '6' to each side of the equation. -6 + 6 + 15w = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 15w = -18 + 6 15w = -18 + 6 Combine like terms: -18 + 6 = -12 15w = -12 Divide each side by '15'. w = -0.8 Simplifying w = -0.8
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