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Simplifying -3(w + -1) = 3w + 45 Reorder the terms: -3(-1 + w) = 3w + 45 (-1 * -3 + w * -3) = 3w + 45 (3 + -3w) = 3w + 45 Reorder the terms: 3 + -3w = 45 + 3w Solving 3 + -3w = 45 + 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. 3 + -3w + -3w = 45 + 3w + -3w Combine like terms: -3w + -3w = -6w 3 + -6w = 45 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + -6w = 45 + 0 3 + -6w = 45 Add '-3' to each side of the equation. 3 + -3 + -6w = 45 + -3 Combine like terms: 3 + -3 = 0 0 + -6w = 45 + -3 -6w = 45 + -3 Combine like terms: 45 + -3 = 42 -6w = 42 Divide each side by '-6'. w = -7 Simplifying w = -7
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