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Simplifying 8w + -22 = 2(1[w + -5] * 1) Reorder the terms: -22 + 8w = 2(1[w + -5] * 1) Reorder the terms: -22 + 8w = 2(1[-5 + w] * 1) Reorder the terms for easier multiplication: -22 + 8w = 2(1 * 1[-5 + w]) Multiply 1 * 1 -22 + 8w = 2(1[-5 + w]) -22 + 8w = 2([-5 * 1 + w * 1]) -22 + 8w = 2([-5 + 1w]) -22 + 8w = (-5 * 2 + 1w * 2) -22 + 8w = (-10 + 2w) Solving -22 + 8w = -10 + 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. -22 + 8w + -2w = -10 + 2w + -2w Combine like terms: 8w + -2w = 6w -22 + 6w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 -22 + 6w = -10 + 0 -22 + 6w = -10 Add '22' to each side of the equation. -22 + 22 + 6w = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 6w = -10 + 22 6w = -10 + 22 Combine like terms: -10 + 22 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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