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Simplifying 4(w + -3) + -1(3 + 6w) = -3w Reorder the terms: 4(-3 + w) + -1(3 + 6w) = -3w (-3 * 4 + w * 4) + -1(3 + 6w) = -3w (-12 + 4w) + -1(3 + 6w) = -3w -12 + 4w + (3 * -1 + 6w * -1) = -3w -12 + 4w + (-3 + -6w) = -3w Reorder the terms: -12 + -3 + 4w + -6w = -3w Combine like terms: -12 + -3 = -15 -15 + 4w + -6w = -3w Combine like terms: 4w + -6w = -2w -15 + -2w = -3w Solving -15 + -2w = -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 + -2w + 3w = -3w + 3w Combine like terms: -2w + 3w = 1w -15 + 1w = -3w + 3w Combine like terms: -3w + 3w = 0 -15 + 1w = 0 Add '15' to each side of the equation. -15 + 15 + 1w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1w = 0 + 15 1w = 0 + 15 Combine like terms: 0 + 15 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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