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Simplifying -6w + -24 = -3w + -21 Reorder the terms: -24 + -6w = -3w + -21 Reorder the terms: -24 + -6w = -21 + -3w Solving -24 + -6w = -21 + -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. -24 + -6w + 3w = -21 + -3w + 3w Combine like terms: -6w + 3w = -3w -24 + -3w = -21 + -3w + 3w Combine like terms: -3w + 3w = 0 -24 + -3w = -21 + 0 -24 + -3w = -21 Add '24' to each side of the equation. -24 + 24 + -3w = -21 + 24 Combine like terms: -24 + 24 = 0 0 + -3w = -21 + 24 -3w = -21 + 24 Combine like terms: -21 + 24 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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