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Simplifying 3w + -45 = -4(w + 6) Reorder the terms: -45 + 3w = -4(w + 6) Reorder the terms: -45 + 3w = -4(6 + w) -45 + 3w = (6 * -4 + w * -4) -45 + 3w = (-24 + -4w) Solving -45 + 3w = -24 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -45 + 3w + 4w = -24 + -4w + 4w Combine like terms: 3w + 4w = 7w -45 + 7w = -24 + -4w + 4w Combine like terms: -4w + 4w = 0 -45 + 7w = -24 + 0 -45 + 7w = -24 Add '45' to each side of the equation. -45 + 45 + 7w = -24 + 45 Combine like terms: -45 + 45 = 0 0 + 7w = -24 + 45 7w = -24 + 45 Combine like terms: -24 + 45 = 21 7w = 21 Divide each side by '7'. w = 3 Simplifying w = 3
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