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Simplifying 3(2w + -1) = 4(-1w + -12) Reorder the terms: 3(-1 + 2w) = 4(-1w + -12) (-1 * 3 + 2w * 3) = 4(-1w + -12) (-3 + 6w) = 4(-1w + -12) Reorder the terms: -3 + 6w = 4(-12 + -1w) -3 + 6w = (-12 * 4 + -1w * 4) -3 + 6w = (-48 + -4w) Solving -3 + 6w = -48 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -3 + 6w + 4w = -48 + -4w + 4w Combine like terms: 6w + 4w = 10w -3 + 10w = -48 + -4w + 4w Combine like terms: -4w + 4w = 0 -3 + 10w = -48 + 0 -3 + 10w = -48 Add '3' to each side of the equation. -3 + 3 + 10w = -48 + 3 Combine like terms: -3 + 3 = 0 0 + 10w = -48 + 3 10w = -48 + 3 Combine like terms: -48 + 3 = -45 10w = -45 Divide each side by '10'. w = -4.5 Simplifying w = -4.5
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