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Simplifying -18 = 8(w + -3) + -2w Reorder the terms: -18 = 8(-3 + w) + -2w -18 = (-3 * 8 + w * 8) + -2w -18 = (-24 + 8w) + -2w Combine like terms: 8w + -2w = 6w -18 = -24 + 6w Solving -18 = -24 + 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. -18 + -6w = -24 + 6w + -6w Combine like terms: 6w + -6w = 0 -18 + -6w = -24 + 0 -18 + -6w = -24 Add '18' to each side of the equation. -18 + 18 + -6w = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -6w = -24 + 18 -6w = -24 + 18 Combine like terms: -24 + 18 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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