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Simplifying 9(3w + -2) = 4(9w) + 45 Reorder the terms: 9(-2 + 3w) = 4(9w) + 45 (-2 * 9 + 3w * 9) = 4(9w) + 45 (-18 + 27w) = 4(9w) + 45 Remove parenthesis around (9w) -18 + 27w = 4 * 9w + 45 Multiply 4 * 9 -18 + 27w = 36w + 45 Reorder the terms: -18 + 27w = 45 + 36w Solving -18 + 27w = 45 + 36w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36w' to each side of the equation. -18 + 27w + -36w = 45 + 36w + -36w Combine like terms: 27w + -36w = -9w -18 + -9w = 45 + 36w + -36w Combine like terms: 36w + -36w = 0 -18 + -9w = 45 + 0 -18 + -9w = 45 Add '18' to each side of the equation. -18 + 18 + -9w = 45 + 18 Combine like terms: -18 + 18 = 0 0 + -9w = 45 + 18 -9w = 45 + 18 Combine like terms: 45 + 18 = 63 -9w = 63 Divide each side by '-9'. w = -7 Simplifying w = -7
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