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Simplifying 5w + -8 = 3(4w + 2) Reorder the terms: -8 + 5w = 3(4w + 2) Reorder the terms: -8 + 5w = 3(2 + 4w) -8 + 5w = (2 * 3 + 4w * 3) -8 + 5w = (6 + 12w) Solving -8 + 5w = 6 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -8 + 5w + -12w = 6 + 12w + -12w Combine like terms: 5w + -12w = -7w -8 + -7w = 6 + 12w + -12w Combine like terms: 12w + -12w = 0 -8 + -7w = 6 + 0 -8 + -7w = 6 Add '8' to each side of the equation. -8 + 8 + -7w = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -7w = 6 + 8 -7w = 6 + 8 Combine like terms: 6 + 8 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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