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Simplifying 2w + -12 = -6(1[w + -6] * 1) Reorder the terms: -12 + 2w = -6(1[w + -6] * 1) Reorder the terms: -12 + 2w = -6(1[-6 + w] * 1) Reorder the terms for easier multiplication: -12 + 2w = -6(1 * 1[-6 + w]) Multiply 1 * 1 -12 + 2w = -6(1[-6 + w]) -12 + 2w = -6([-6 * 1 + w * 1]) -12 + 2w = -6([-6 + 1w]) -12 + 2w = (-6 * -6 + 1w * -6) -12 + 2w = (36 + -6w) Solving -12 + 2w = 36 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -12 + 2w + 6w = 36 + -6w + 6w Combine like terms: 2w + 6w = 8w -12 + 8w = 36 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 8w = 36 + 0 -12 + 8w = 36 Add '12' to each side of the equation. -12 + 12 + 8w = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = 36 + 12 8w = 36 + 12 Combine like terms: 36 + 12 = 48 8w = 48 Divide each side by '8'. w = 6 Simplifying w = 6
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