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Simplifying 2(w + -4) + -4 = -3(-7w + 6) + -4w Reorder the terms: 2(-4 + w) + -4 = -3(-7w + 6) + -4w (-4 * 2 + w * 2) + -4 = -3(-7w + 6) + -4w (-8 + 2w) + -4 = -3(-7w + 6) + -4w Reorder the terms: -8 + -4 + 2w = -3(-7w + 6) + -4w Combine like terms: -8 + -4 = -12 -12 + 2w = -3(-7w + 6) + -4w Reorder the terms: -12 + 2w = -3(6 + -7w) + -4w -12 + 2w = (6 * -3 + -7w * -3) + -4w -12 + 2w = (-18 + 21w) + -4w Combine like terms: 21w + -4w = 17w -12 + 2w = -18 + 17w Solving -12 + 2w = -18 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -12 + 2w + -17w = -18 + 17w + -17w Combine like terms: 2w + -17w = -15w -12 + -15w = -18 + 17w + -17w Combine like terms: 17w + -17w = 0 -12 + -15w = -18 + 0 -12 + -15w = -18 Add '12' to each side of the equation. -12 + 12 + -15w = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -15w = -18 + 12 -15w = -18 + 12 Combine like terms: -18 + 12 = -6 -15w = -6 Divide each side by '-15'. w = 0.4 Simplifying w = 0.4
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