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Simplifying 5w + -45 = 8(w + -3) Reorder the terms: -45 + 5w = 8(w + -3) Reorder the terms: -45 + 5w = 8(-3 + w) -45 + 5w = (-3 * 8 + w * 8) -45 + 5w = (-24 + 8w) Solving -45 + 5w = -24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -45 + 5w + -8w = -24 + 8w + -8w Combine like terms: 5w + -8w = -3w -45 + -3w = -24 + 8w + -8w Combine like terms: 8w + -8w = 0 -45 + -3w = -24 + 0 -45 + -3w = -24 Add '45' to each side of the equation. -45 + 45 + -3w = -24 + 45 Combine like terms: -45 + 45 = 0 0 + -3w = -24 + 45 -3w = -24 + 45 Combine like terms: -24 + 45 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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