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Simplifying -2(3w + 6) + -1(4w + -3) = 21 Reorder the terms: -2(6 + 3w) + -1(4w + -3) = 21 (6 * -2 + 3w * -2) + -1(4w + -3) = 21 (-12 + -6w) + -1(4w + -3) = 21 Reorder the terms: -12 + -6w + -1(-3 + 4w) = 21 -12 + -6w + (-3 * -1 + 4w * -1) = 21 -12 + -6w + (3 + -4w) = 21 Reorder the terms: -12 + 3 + -6w + -4w = 21 Combine like terms: -12 + 3 = -9 -9 + -6w + -4w = 21 Combine like terms: -6w + -4w = -10w -9 + -10w = 21 Solving -9 + -10w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -10w = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -10w = 21 + 9 -10w = 21 + 9 Combine like terms: 21 + 9 = 30 -10w = 30 Divide each side by '-10'. w = -3 Simplifying w = -3
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