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Simplifying 2(1[w + 9] * 1) = 8w + 12 Reorder the terms: 2(1[9 + w] * 1) = 8w + 12 Reorder the terms for easier multiplication: 2(1 * 1[9 + w]) = 8w + 12 Multiply 1 * 1 2(1[9 + w]) = 8w + 12 2([9 * 1 + w * 1]) = 8w + 12 2([9 + 1w]) = 8w + 12 (9 * 2 + 1w * 2) = 8w + 12 (18 + 2w) = 8w + 12 Reorder the terms: 18 + 2w = 12 + 8w Solving 18 + 2w = 12 + 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. 18 + 2w + -8w = 12 + 8w + -8w Combine like terms: 2w + -8w = -6w 18 + -6w = 12 + 8w + -8w Combine like terms: 8w + -8w = 0 18 + -6w = 12 + 0 18 + -6w = 12 Add '-18' to each side of the equation. 18 + -18 + -6w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -6w = 12 + -18 -6w = 12 + -18 Combine like terms: 12 + -18 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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