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Simplifying 4(8 + -3w) = 32 + -8(13x + -3) (8 * 4 + -3w * 4) = 32 + -8(13x + -3) (32 + -12w) = 32 + -8(13x + -3) Reorder the terms: 32 + -12w = 32 + -8(-3 + 13x) 32 + -12w = 32 + (-3 * -8 + 13x * -8) 32 + -12w = 32 + (24 + -104x) Combine like terms: 32 + 24 = 56 32 + -12w = 56 + -104x Solving 32 + -12w = 56 + -104x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -12w = 56 + -32 + -104x Combine like terms: 32 + -32 = 0 0 + -12w = 56 + -32 + -104x -12w = 56 + -32 + -104x Combine like terms: 56 + -32 = 24 -12w = 24 + -104x Divide each side by '-12'. w = -2 + 8.666666667x Simplifying w = -2 + 8.666666667x
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