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Simplifying -4(w + 3) + -1(5w + -6) = -10w Reorder the terms: -4(3 + w) + -1(5w + -6) = -10w (3 * -4 + w * -4) + -1(5w + -6) = -10w (-12 + -4w) + -1(5w + -6) = -10w Reorder the terms: -12 + -4w + -1(-6 + 5w) = -10w -12 + -4w + (-6 * -1 + 5w * -1) = -10w -12 + -4w + (6 + -5w) = -10w Reorder the terms: -12 + 6 + -4w + -5w = -10w Combine like terms: -12 + 6 = -6 -6 + -4w + -5w = -10w Combine like terms: -4w + -5w = -9w -6 + -9w = -10w Solving -6 + -9w = -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. -6 + -9w + 10w = -10w + 10w Combine like terms: -9w + 10w = 1w -6 + 1w = -10w + 10w Combine like terms: -10w + 10w = 0 -6 + 1w = 0 Add '6' to each side of the equation. -6 + 6 + 1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1w = 0 + 6 1w = 0 + 6 Combine like terms: 0 + 6 = 6 1w = 6 Divide each side by '1'. w = 6 Simplifying w = 6
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