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Simplifying 2(4w + -5) = 12w + -18 Reorder the terms: 2(-5 + 4w) = 12w + -18 (-5 * 2 + 4w * 2) = 12w + -18 (-10 + 8w) = 12w + -18 Reorder the terms: -10 + 8w = -18 + 12w Solving -10 + 8w = -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. -10 + 8w + -12w = -18 + 12w + -12w Combine like terms: 8w + -12w = -4w -10 + -4w = -18 + 12w + -12w Combine like terms: 12w + -12w = 0 -10 + -4w = -18 + 0 -10 + -4w = -18 Add '10' to each side of the equation. -10 + 10 + -4w = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -4w = -18 + 10 -4w = -18 + 10 Combine like terms: -18 + 10 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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