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Simplifying -4(5 + -6) + -1(4w + -8) = -12 Combine like terms: 5 + -6 = -1 -4(-1) + -1(4w + -8) = -12 Multiply -4 * -1 4 + -1(4w + -8) = -12 Reorder the terms: 4 + -1(-8 + 4w) = -12 4 + (-8 * -1 + 4w * -1) = -12 4 + (8 + -4w) = -12 Combine like terms: 4 + 8 = 12 12 + -4w = -12 Solving 12 + -4w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4w = -12 + -12 -4w = -12 + -12 Combine like terms: -12 + -12 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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