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Simplifying -36 = -3w + 6(w + -3) Reorder the terms: -36 = -3w + 6(-3 + w) -36 = -3w + (-3 * 6 + w * 6) -36 = -3w + (-18 + 6w) Reorder the terms: -36 = -18 + -3w + 6w Combine like terms: -3w + 6w = 3w -36 = -18 + 3w Solving -36 = -18 + 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. -36 + -3w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 -36 + -3w = -18 + 0 -36 + -3w = -18 Add '36' to each side of the equation. -36 + 36 + -3w = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -3w = -18 + 36 -3w = -18 + 36 Combine like terms: -18 + 36 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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