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Simplifying 3(w + -6) + -1 = -2(-3w + 8) + -9w Reorder the terms: 3(-6 + w) + -1 = -2(-3w + 8) + -9w (-6 * 3 + w * 3) + -1 = -2(-3w + 8) + -9w (-18 + 3w) + -1 = -2(-3w + 8) + -9w Reorder the terms: -18 + -1 + 3w = -2(-3w + 8) + -9w Combine like terms: -18 + -1 = -19 -19 + 3w = -2(-3w + 8) + -9w Reorder the terms: -19 + 3w = -2(8 + -3w) + -9w -19 + 3w = (8 * -2 + -3w * -2) + -9w -19 + 3w = (-16 + 6w) + -9w Combine like terms: 6w + -9w = -3w -19 + 3w = -16 + -3w Solving -19 + 3w = -16 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -19 + 3w + 3w = -16 + -3w + 3w Combine like terms: 3w + 3w = 6w -19 + 6w = -16 + -3w + 3w Combine like terms: -3w + 3w = 0 -19 + 6w = -16 + 0 -19 + 6w = -16 Add '19' to each side of the equation. -19 + 19 + 6w = -16 + 19 Combine like terms: -19 + 19 = 0 0 + 6w = -16 + 19 6w = -16 + 19 Combine like terms: -16 + 19 = 3 6w = 3 Divide each side by '6'. w = 0.5 Simplifying w = 0.5
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