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Simplifying -4(7 + -5) = 3w + -13 Combine like terms: 7 + -5 = 2 -4(2) = 3w + -13 Multiply -4 * 2 -8 = 3w + -13 Reorder the terms: -8 = -13 + 3w Solving -8 = -13 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -8 + -3w = -13 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + -3w = -13 + 0 -8 + -3w = -13 Add '8' to each side of the equation. -8 + 8 + -3w = -13 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = -13 + 8 -3w = -13 + 8 Combine like terms: -13 + 8 = -5 -3w = -5 Divide each side by '-3'. w = 1.666666667 Simplifying w = 1.666666667
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