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Simplifying 4(4 + -3) = 3(2w + 2) Combine like terms: 4 + -3 = 1 4(1) = 3(2w + 2) Multiply 4 * 1 4 = 3(2w + 2) Reorder the terms: 4 = 3(2 + 2w) 4 = (2 * 3 + 2w * 3) 4 = (6 + 6w) Solving 4 = 6 + 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. 4 + -6w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 4 + -6w = 6 + 0 4 + -6w = 6 Add '-4' to each side of the equation. 4 + -4 + -6w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -6w = 6 + -4 -6w = 6 + -4 Combine like terms: 6 + -4 = 2 -6w = 2 Divide each side by '-6'. w = -0.3333333333 Simplifying w = -0.3333333333
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