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Simplifying -1(7 + -1w) + -22 + 4(8 + -1w) = 0 (7 * -1 + -1w * -1) + -22 + 4(8 + -1w) = 0 (-7 + 1w) + -22 + 4(8 + -1w) = 0 -7 + 1w + -22 + (8 * 4 + -1w * 4) = 0 -7 + 1w + -22 + (32 + -4w) = 0 Reorder the terms: -7 + -22 + 32 + 1w + -4w = 0 Combine like terms: -7 + -22 = -29 -29 + 32 + 1w + -4w = 0 Combine like terms: -29 + 32 = 3 3 + 1w + -4w = 0 Combine like terms: 1w + -4w = -3w 3 + -3w = 0 Solving 3 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3w = 0 + -3 -3w = 0 + -3 Combine like terms: 0 + -3 = -3 -3w = -3 Divide each side by '-3'. w = 1 Simplifying w = 1
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