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Simplifying -3(-6w + 5) + -1w = 2(w + -8) + -2 Reorder the terms: -3(5 + -6w) + -1w = 2(w + -8) + -2 (5 * -3 + -6w * -3) + -1w = 2(w + -8) + -2 (-15 + 18w) + -1w = 2(w + -8) + -2 Combine like terms: 18w + -1w = 17w -15 + 17w = 2(w + -8) + -2 Reorder the terms: -15 + 17w = 2(-8 + w) + -2 -15 + 17w = (-8 * 2 + w * 2) + -2 -15 + 17w = (-16 + 2w) + -2 Reorder the terms: -15 + 17w = -16 + -2 + 2w Combine like terms: -16 + -2 = -18 -15 + 17w = -18 + 2w Solving -15 + 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. -15 + 17w + -2w = -18 + 2w + -2w Combine like terms: 17w + -2w = 15w -15 + 15w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 15w = -18 + 0 -15 + 15w = -18 Add '15' to each side of the equation. -15 + 15 + 15w = -18 + 15 Combine like terms: -15 + 15 = 0 0 + 15w = -18 + 15 15w = -18 + 15 Combine like terms: -18 + 15 = -3 15w = -3 Divide each side by '15'. w = -0.2 Simplifying w = -0.2
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