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Simplifying 4(w + -6) + -7w = -12 Reorder the terms: 4(-6 + w) + -7w = -12 (-6 * 4 + w * 4) + -7w = -12 (-24 + 4w) + -7w = -12 Combine like terms: 4w + -7w = -3w -24 + -3w = -12 Solving -24 + -3w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -3w = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -3w = -12 + 24 -3w = -12 + 24 Combine like terms: -12 + 24 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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