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Simplifying -6w + 3(w + -7) = -12 Reorder the terms: -6w + 3(-7 + w) = -12 -6w + (-7 * 3 + w * 3) = -12 -6w + (-21 + 3w) = -12 Reorder the terms: -21 + -6w + 3w = -12 Combine like terms: -6w + 3w = -3w -21 + -3w = -12 Solving -21 + -3w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -3w = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -3w = -12 + 21 -3w = -12 + 21 Combine like terms: -12 + 21 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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