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Simplifying 4w + 10 = -3(w + -8) Reorder the terms: 10 + 4w = -3(w + -8) Reorder the terms: 10 + 4w = -3(-8 + w) 10 + 4w = (-8 * -3 + w * -3) 10 + 4w = (24 + -3w) Solving 10 + 4w = 24 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 10 + 4w + 3w = 24 + -3w + 3w Combine like terms: 4w + 3w = 7w 10 + 7w = 24 + -3w + 3w Combine like terms: -3w + 3w = 0 10 + 7w = 24 + 0 10 + 7w = 24 Add '-10' to each side of the equation. 10 + -10 + 7w = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 7w = 24 + -10 7w = 24 + -10 Combine like terms: 24 + -10 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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