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Simplifying -24 = -6w + 3(w + -7) Reorder the terms: -24 = -6w + 3(-7 + w) -24 = -6w + (-7 * 3 + w * 3) -24 = -6w + (-21 + 3w) Reorder the terms: -24 = -21 + -6w + 3w Combine like terms: -6w + 3w = -3w -24 = -21 + -3w Solving -24 = -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 + 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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