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Simplifying 9(2 + w) + -4x = 3w + -10 (2 * 9 + w * 9) + -4x = 3w + -10 (18 + 9w) + -4x = 3w + -10 Reorder the terms: 18 + 9w + -4x = -10 + 3w Solving 18 + 9w + -4x = -10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 18 + 9w + -3w + -4x = -10 + 3w + -3w Combine like terms: 9w + -3w = 6w 18 + 6w + -4x = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 18 + 6w + -4x = -10 + 0 18 + 6w + -4x = -10 Add '-18' to each side of the equation. 18 + 6w + -18 + -4x = -10 + -18 Reorder the terms: 18 + -18 + 6w + -4x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 6w + -4x = -10 + -18 6w + -4x = -10 + -18 Combine like terms: -10 + -18 = -28 6w + -4x = -28 Add '4x' to each side of the equation. 6w + -4x + 4x = -28 + 4x Combine like terms: -4x + 4x = 0 6w + 0 = -28 + 4x 6w = -28 + 4x Divide each side by '6'. w = -4.666666667 + 0.6666666667x Simplifying w = -4.666666667 + 0.6666666667x
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