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Simplifying -4(w + -2) = 3w + -13 Reorder the terms: -4(-2 + w) = 3w + -13 (-2 * -4 + w * -4) = 3w + -13 (8 + -4w) = 3w + -13 Reorder the terms: 8 + -4w = -13 + 3w Solving 8 + -4w = -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 + -4w + -3w = -13 + 3w + -3w Combine like terms: -4w + -3w = -7w 8 + -7w = -13 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + -7w = -13 + 0 8 + -7w = -13 Add '-8' to each side of the equation. 8 + -8 + -7w = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -7w = -13 + -8 -7w = -13 + -8 Combine like terms: -13 + -8 = -21 -7w = -21 Divide each side by '-7'. w = 3 Simplifying w = 3
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