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Simplifying 6w + -18 = -15 + -1(-9w) + 21 Reorder the terms: -18 + 6w = -15 + -1(-9w) + 21 Remove parenthesis around (-9w) -18 + 6w = -15 + -1 * -9w + 21 Multiply -1 * -9 -18 + 6w = -15 + 9w + 21 Reorder the terms: -18 + 6w = -15 + 21 + 9w Combine like terms: -15 + 21 = 6 -18 + 6w = 6 + 9w Solving -18 + 6w = 6 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -18 + 6w + -9w = 6 + 9w + -9w Combine like terms: 6w + -9w = -3w -18 + -3w = 6 + 9w + -9w Combine like terms: 9w + -9w = 0 -18 + -3w = 6 + 0 -18 + -3w = 6 Add '18' to each side of the equation. -18 + 18 + -3w = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -3w = 6 + 18 -3w = 6 + 18 Combine like terms: 6 + 18 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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