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Simplifying 2w + -5w + -45 = 4(w + -6) Reorder the terms: -45 + 2w + -5w = 4(w + -6) Combine like terms: 2w + -5w = -3w -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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