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Simplifying 72 + -1(w + -1) = -3(6w + 4) Reorder the terms: 72 + -1(-1 + w) = -3(6w + 4) 72 + (-1 * -1 + w * -1) = -3(6w + 4) 72 + (1 + -1w) = -3(6w + 4) Combine like terms: 72 + 1 = 73 73 + -1w = -3(6w + 4) Reorder the terms: 73 + -1w = -3(4 + 6w) 73 + -1w = (4 * -3 + 6w * -3) 73 + -1w = (-12 + -18w) Solving 73 + -1w = -12 + -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. 73 + -1w + 18w = -12 + -18w + 18w Combine like terms: -1w + 18w = 17w 73 + 17w = -12 + -18w + 18w Combine like terms: -18w + 18w = 0 73 + 17w = -12 + 0 73 + 17w = -12 Add '-73' to each side of the equation. 73 + -73 + 17w = -12 + -73 Combine like terms: 73 + -73 = 0 0 + 17w = -12 + -73 17w = -12 + -73 Combine like terms: -12 + -73 = -85 17w = -85 Divide each side by '17'. w = -5 Simplifying w = -5
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