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Simplifying 4(2w + -1) + -3w = 7w + 24 + 5w Reorder the terms: 4(-1 + 2w) + -3w = 7w + 24 + 5w (-1 * 4 + 2w * 4) + -3w = 7w + 24 + 5w (-4 + 8w) + -3w = 7w + 24 + 5w Combine like terms: 8w + -3w = 5w -4 + 5w = 7w + 24 + 5w Reorder the terms: -4 + 5w = 24 + 7w + 5w Combine like terms: 7w + 5w = 12w -4 + 5w = 24 + 12w Solving -4 + 5w = 24 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -4 + 5w + -12w = 24 + 12w + -12w Combine like terms: 5w + -12w = -7w -4 + -7w = 24 + 12w + -12w Combine like terms: 12w + -12w = 0 -4 + -7w = 24 + 0 -4 + -7w = 24 Add '4' to each side of the equation. -4 + 4 + -7w = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -7w = 24 + 4 -7w = 24 + 4 Combine like terms: 24 + 4 = 28 -7w = 28 Divide each side by '-7'. w = -4 Simplifying w = -4
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