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Simplifying 4(w + -6) = 7w + -36 Reorder the terms: 4(-6 + w) = 7w + -36 (-6 * 4 + w * 4) = 7w + -36 (-24 + 4w) = 7w + -36 Reorder the terms: -24 + 4w = -36 + 7w Solving -24 + 4w = -36 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -24 + 4w + -7w = -36 + 7w + -7w Combine like terms: 4w + -7w = -3w -24 + -3w = -36 + 7w + -7w Combine like terms: 7w + -7w = 0 -24 + -3w = -36 + 0 -24 + -3w = -36 Add '24' to each side of the equation. -24 + 24 + -3w = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -3w = -36 + 24 -3w = -36 + 24 Combine like terms: -36 + 24 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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