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Simplifying -4(w + -3) = -7w + 15 Reorder the terms: -4(-3 + w) = -7w + 15 (-3 * -4 + w * -4) = -7w + 15 (12 + -4w) = -7w + 15 Reorder the terms: 12 + -4w = 15 + -7w Solving 12 + -4w = 15 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 12 + -4w + 7w = 15 + -7w + 7w Combine like terms: -4w + 7w = 3w 12 + 3w = 15 + -7w + 7w Combine like terms: -7w + 7w = 0 12 + 3w = 15 + 0 12 + 3w = 15 Add '-12' to each side of the equation. 12 + -12 + 3w = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = 15 + -12 3w = 15 + -12 Combine like terms: 15 + -12 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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