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Simplifying 6(-3 + -1w) = -1(12w + -18) (-3 * 6 + -1w * 6) = -1(12w + -18) (-18 + -6w) = -1(12w + -18) Reorder the terms: -18 + -6w = -1(-18 + 12w) -18 + -6w = (-18 * -1 + 12w * -1) -18 + -6w = (18 + -12w) Solving -18 + -6w = 18 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -18 + -6w + 12w = 18 + -12w + 12w Combine like terms: -6w + 12w = 6w -18 + 6w = 18 + -12w + 12w Combine like terms: -12w + 12w = 0 -18 + 6w = 18 + 0 -18 + 6w = 18 Add '18' to each side of the equation. -18 + 18 + 6w = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 6w = 18 + 18 6w = 18 + 18 Combine like terms: 18 + 18 = 36 6w = 36 Divide each side by '6'. w = 6 Simplifying w = 6
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