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Simplifying 4 + -2(w + -4) = w + -1(-5) Reorder the terms: 4 + -2(-4 + w) = w + -1(-5) 4 + (-4 * -2 + w * -2) = w + -1(-5) 4 + (8 + -2w) = w + -1(-5) Combine like terms: 4 + 8 = 12 12 + -2w = w + -1(-5) Multiply -1 * -5 12 + -2w = w + 5 Reorder the terms: 12 + -2w = 5 + w Solving 12 + -2w = 5 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 12 + -2w + -1w = 5 + w + -1w Combine like terms: -2w + -1w = -3w 12 + -3w = 5 + w + -1w Combine like terms: w + -1w = 0 12 + -3w = 5 + 0 12 + -3w = 5 Add '-12' to each side of the equation. 12 + -12 + -3w = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 5 + -12 -3w = 5 + -12 Combine like terms: 5 + -12 = -7 -3w = -7 Divide each side by '-3'. w = 2.333333333 Simplifying w = 2.333333333
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