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Simplifying (3w + -8) + -4(2w + 3) = 0 Reorder the terms: (-8 + 3w) + -4(2w + 3) = 0 Remove parenthesis around (-8 + 3w) -8 + 3w + -4(2w + 3) = 0 Reorder the terms: -8 + 3w + -4(3 + 2w) = 0 -8 + 3w + (3 * -4 + 2w * -4) = 0 -8 + 3w + (-12 + -8w) = 0 Reorder the terms: -8 + -12 + 3w + -8w = 0 Combine like terms: -8 + -12 = -20 -20 + 3w + -8w = 0 Combine like terms: 3w + -8w = -5w -20 + -5w = 0 Solving -20 + -5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -5w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -5w = 0 + 20 -5w = 0 + 20 Combine like terms: 0 + 20 = 20 -5w = 20 Divide each side by '-5'. w = -4 Simplifying w = -4
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