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Simplifying 12 = -8w + 5(1[w + 6] * 1) Reorder the terms: 12 = -8w + 5(1[6 + w] * 1) Reorder the terms for easier multiplication: 12 = -8w + 5(1 * 1[6 + w]) Multiply 1 * 1 12 = -8w + 5(1[6 + w]) 12 = -8w + 5([6 * 1 + w * 1]) 12 = -8w + 5([6 + 1w]) 12 = -8w + (6 * 5 + 1w * 5) 12 = -8w + (30 + 5w) Reorder the terms: 12 = 30 + -8w + 5w Combine like terms: -8w + 5w = -3w 12 = 30 + -3w Solving 12 = 30 + -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. 12 + 3w = 30 + -3w + 3w Combine like terms: -3w + 3w = 0 12 + 3w = 30 + 0 12 + 3w = 30 Add '-12' to each side of the equation. 12 + -12 + 3w = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = 30 + -12 3w = 30 + -12 Combine like terms: 30 + -12 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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