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Simplifying 10w + 8 + -2(3w + -4) = -12 Reorder the terms: 10w + 8 + -2(-4 + 3w) = -12 10w + 8 + (-4 * -2 + 3w * -2) = -12 10w + 8 + (8 + -6w) = -12 Reorder the terms: 8 + 8 + 10w + -6w = -12 Combine like terms: 8 + 8 = 16 16 + 10w + -6w = -12 Combine like terms: 10w + -6w = 4w 16 + 4w = -12 Solving 16 + 4w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4w = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 4w = -12 + -16 4w = -12 + -16 Combine like terms: -12 + -16 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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