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Simplifying 2(w + -4) + -7 = -3(-4w + 3) + -6w Reorder the terms: 2(-4 + w) + -7 = -3(-4w + 3) + -6w (-4 * 2 + w * 2) + -7 = -3(-4w + 3) + -6w (-8 + 2w) + -7 = -3(-4w + 3) + -6w Reorder the terms: -8 + -7 + 2w = -3(-4w + 3) + -6w Combine like terms: -8 + -7 = -15 -15 + 2w = -3(-4w + 3) + -6w Reorder the terms: -15 + 2w = -3(3 + -4w) + -6w -15 + 2w = (3 * -3 + -4w * -3) + -6w -15 + 2w = (-9 + 12w) + -6w Combine like terms: 12w + -6w = 6w -15 + 2w = -9 + 6w Solving -15 + 2w = -9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -15 + 2w + -6w = -9 + 6w + -6w Combine like terms: 2w + -6w = -4w -15 + -4w = -9 + 6w + -6w Combine like terms: 6w + -6w = 0 -15 + -4w = -9 + 0 -15 + -4w = -9 Add '15' to each side of the equation. -15 + 15 + -4w = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -4w = -9 + 15 -4w = -9 + 15 Combine like terms: -9 + 15 = 6 -4w = 6 Divide each side by '-4'. w = -1.5 Simplifying w = -1.5
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