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Simplifying 3(w + -4) + -3 = -3(-2w + 6) + -9w Reorder the terms: 3(-4 + w) + -3 = -3(-2w + 6) + -9w (-4 * 3 + w * 3) + -3 = -3(-2w + 6) + -9w (-12 + 3w) + -3 = -3(-2w + 6) + -9w Reorder the terms: -12 + -3 + 3w = -3(-2w + 6) + -9w Combine like terms: -12 + -3 = -15 -15 + 3w = -3(-2w + 6) + -9w Reorder the terms: -15 + 3w = -3(6 + -2w) + -9w -15 + 3w = (6 * -3 + -2w * -3) + -9w -15 + 3w = (-18 + 6w) + -9w Combine like terms: 6w + -9w = -3w -15 + 3w = -18 + -3w Solving -15 + 3w = -18 + -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. -15 + 3w + 3w = -18 + -3w + 3w Combine like terms: 3w + 3w = 6w -15 + 6w = -18 + -3w + 3w Combine like terms: -3w + 3w = 0 -15 + 6w = -18 + 0 -15 + 6w = -18 Add '15' to each side of the equation. -15 + 15 + 6w = -18 + 15 Combine like terms: -15 + 15 = 0 0 + 6w = -18 + 15 6w = -18 + 15 Combine like terms: -18 + 15 = -3 6w = -3 Divide each side by '6'. w = -0.5 Simplifying w = -0.5
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