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Simplifying 2 = -1[8] * w + 6(1[w + 3] * 1) Multiply -1 * 8 2 = -8w + 6(1[w + 3] * 1) Reorder the terms: 2 = -8w + 6(1[3 + w] * 1) Reorder the terms for easier multiplication: 2 = -8w + 6(1 * 1[3 + w]) Multiply 1 * 1 2 = -8w + 6(1[3 + w]) 2 = -8w + 6([3 * 1 + w * 1]) 2 = -8w + 6([3 + 1w]) 2 = -8w + (3 * 6 + 1w * 6) 2 = -8w + (18 + 6w) Reorder the terms: 2 = 18 + -8w + 6w Combine like terms: -8w + 6w = -2w 2 = 18 + -2w Solving 2 = 18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 2 + 2w = 18 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 2w = 18 + 0 2 + 2w = 18 Add '-2' to each side of the equation. 2 + -2 + 2w = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 18 + -2 2w = 18 + -2 Combine like terms: 18 + -2 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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