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Simplifying -4(3 + w) = -27 + -1w (3 * -4 + w * -4) = -27 + -1w (-12 + -4w) = -27 + -1w Solving -12 + -4w = -27 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -12 + -4w + w = -27 + -1w + w Combine like terms: -4w + w = -3w -12 + -3w = -27 + -1w + w Combine like terms: -1w + w = 0 -12 + -3w = -27 + 0 -12 + -3w = -27 Add '12' to each side of the equation. -12 + 12 + -3w = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -3w = -27 + 12 -3w = -27 + 12 Combine like terms: -27 + 12 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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