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Simplifying 6w + -2 = -1(6w + 18) Reorder the terms: -2 + 6w = -1(6w + 18) Reorder the terms: -2 + 6w = -1(18 + 6w) -2 + 6w = (18 * -1 + 6w * -1) -2 + 6w = (-18 + -6w) Solving -2 + 6w = -18 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -2 + 6w + 6w = -18 + -6w + 6w Combine like terms: 6w + 6w = 12w -2 + 12w = -18 + -6w + 6w Combine like terms: -6w + 6w = 0 -2 + 12w = -18 + 0 -2 + 12w = -18 Add '2' to each side of the equation. -2 + 2 + 12w = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 12w = -18 + 2 12w = -18 + 2 Combine like terms: -18 + 2 = -16 12w = -16 Divide each side by '12'. w = -1.333333333 Simplifying w = -1.333333333
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