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Simplifying 20w + -19w + -1(-2w) + -1(-18) = -18 Remove parenthesis around (-2w) 20w + -19w + -1 * -2w + -1(-18) = -18 Multiply -1 * -2 20w + -19w + 2w + -1(-18) = -18 Multiply -1 * -18 20w + -19w + 2w + 18 = -18 Reorder the terms: 18 + 20w + -19w + 2w = -18 Combine like terms: 20w + -19w = 1w 18 + 1w + 2w = -18 Combine like terms: 1w + 2w = 3w 18 + 3w = -18 Solving 18 + 3w = -18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3w = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 3w = -18 + -18 3w = -18 + -18 Combine like terms: -18 + -18 = -36 3w = -36 Divide each side by '3'. w = -12 Simplifying w = -12
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