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Simplifying -3w + 39 = 4(w + 8) Reorder the terms: 39 + -3w = 4(w + 8) Reorder the terms: 39 + -3w = 4(8 + w) 39 + -3w = (8 * 4 + w * 4) 39 + -3w = (32 + 4w) Solving 39 + -3w = 32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 39 + -3w + -4w = 32 + 4w + -4w Combine like terms: -3w + -4w = -7w 39 + -7w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 39 + -7w = 32 + 0 39 + -7w = 32 Add '-39' to each side of the equation. 39 + -39 + -7w = 32 + -39 Combine like terms: 39 + -39 = 0 0 + -7w = 32 + -39 -7w = 32 + -39 Combine like terms: 32 + -39 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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