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Simplifying 3w + -6 = 8(w + 4) Reorder the terms: -6 + 3w = 8(w + 4) Reorder the terms: -6 + 3w = 8(4 + w) -6 + 3w = (4 * 8 + w * 8) -6 + 3w = (32 + 8w) Solving -6 + 3w = 32 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -6 + 3w + -8w = 32 + 8w + -8w Combine like terms: 3w + -8w = -5w -6 + -5w = 32 + 8w + -8w Combine like terms: 8w + -8w = 0 -6 + -5w = 32 + 0 -6 + -5w = 32 Add '6' to each side of the equation. -6 + 6 + -5w = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -5w = 32 + 6 -5w = 32 + 6 Combine like terms: 32 + 6 = 38 -5w = 38 Divide each side by '-5'. w = -7.6 Simplifying w = -7.6
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