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Simplifying -15w = 6 + 3(-6w + -12) Reorder the terms: -15w = 6 + 3(-12 + -6w) -15w = 6 + (-12 * 3 + -6w * 3) -15w = 6 + (-36 + -18w) Combine like terms: 6 + -36 = -30 -15w = -30 + -18w Solving -15w = -30 + -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. -15w + 18w = -30 + -18w + 18w Combine like terms: -15w + 18w = 3w 3w = -30 + -18w + 18w Combine like terms: -18w + 18w = 0 3w = -30 + 0 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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