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Simplifying 29 = 46 + -3(-4 + -2w) 29 = 46 + (-4 * -3 + -2w * -3) 29 = 46 + (12 + 6w) Combine like terms: 46 + 12 = 58 29 = 58 + 6w Solving 29 = 58 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 29 + -6w = 58 + 6w + -6w Combine like terms: 6w + -6w = 0 29 + -6w = 58 + 0 29 + -6w = 58 Add '-29' to each side of the equation. 29 + -29 + -6w = 58 + -29 Combine like terms: 29 + -29 = 0 0 + -6w = 58 + -29 -6w = 58 + -29 Combine like terms: 58 + -29 = 29 -6w = 29 Divide each side by '-6'. w = -4.833333333 Simplifying w = -4.833333333
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