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Simplifying -3(-4w + 5) + -2w = 6(w + -4) + -9 Reorder the terms: -3(5 + -4w) + -2w = 6(w + -4) + -9 (5 * -3 + -4w * -3) + -2w = 6(w + -4) + -9 (-15 + 12w) + -2w = 6(w + -4) + -9 Combine like terms: 12w + -2w = 10w -15 + 10w = 6(w + -4) + -9 Reorder the terms: -15 + 10w = 6(-4 + w) + -9 -15 + 10w = (-4 * 6 + w * 6) + -9 -15 + 10w = (-24 + 6w) + -9 Reorder the terms: -15 + 10w = -24 + -9 + 6w Combine like terms: -24 + -9 = -33 -15 + 10w = -33 + 6w Solving -15 + 10w = -33 + 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 + 10w + -6w = -33 + 6w + -6w Combine like terms: 10w + -6w = 4w -15 + 4w = -33 + 6w + -6w Combine like terms: 6w + -6w = 0 -15 + 4w = -33 + 0 -15 + 4w = -33 Add '15' to each side of the equation. -15 + 15 + 4w = -33 + 15 Combine like terms: -15 + 15 = 0 0 + 4w = -33 + 15 4w = -33 + 15 Combine like terms: -33 + 15 = -18 4w = -18 Divide each side by '4'. w = -4.5 Simplifying w = -4.5
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