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Simplifying 4(w + -8) + -2 = -3(-3w + 8) + -9w Reorder the terms: 4(-8 + w) + -2 = -3(-3w + 8) + -9w (-8 * 4 + w * 4) + -2 = -3(-3w + 8) + -9w (-32 + 4w) + -2 = -3(-3w + 8) + -9w Reorder the terms: -32 + -2 + 4w = -3(-3w + 8) + -9w Combine like terms: -32 + -2 = -34 -34 + 4w = -3(-3w + 8) + -9w Reorder the terms: -34 + 4w = -3(8 + -3w) + -9w -34 + 4w = (8 * -3 + -3w * -3) + -9w -34 + 4w = (-24 + 9w) + -9w Combine like terms: 9w + -9w = 0 -34 + 4w = -24 + 0 -34 + 4w = -24 Solving -34 + 4w = -24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 4w = -24 + 34 Combine like terms: -34 + 34 = 0 0 + 4w = -24 + 34 4w = -24 + 34 Combine like terms: -24 + 34 = 10 4w = 10 Divide each side by '4'. w = 2.5 Simplifying w = 2.5
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