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Simplifying 5 + -2(w + 4) = w + -7 Reorder the terms: 5 + -2(4 + w) = w + -7 5 + (4 * -2 + w * -2) = w + -7 5 + (-8 + -2w) = w + -7 Combine like terms: 5 + -8 = -3 -3 + -2w = w + -7 Reorder the terms: -3 + -2w = -7 + w Solving -3 + -2w = -7 + 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. -3 + -2w + -1w = -7 + w + -1w Combine like terms: -2w + -1w = -3w -3 + -3w = -7 + w + -1w Combine like terms: w + -1w = 0 -3 + -3w = -7 + 0 -3 + -3w = -7 Add '3' to each side of the equation. -3 + 3 + -3w = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -3w = -7 + 3 -3w = -7 + 3 Combine like terms: -7 + 3 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333
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