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Simplifying (4 + -1w) = 3(2w + 2) Remove parenthesis around (4 + -1w) 4 + -1w = 3(2w + 2) Reorder the terms: 4 + -1w = 3(2 + 2w) 4 + -1w = (2 * 3 + 2w * 3) 4 + -1w = (6 + 6w) Solving 4 + -1w = 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 + -1w + -6w = 6 + 6w + -6w Combine like terms: -1w + -6w = -7w 4 + -7w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 4 + -7w = 6 + 0 4 + -7w = 6 Add '-4' to each side of the equation. 4 + -4 + -7w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -7w = 6 + -4 -7w = 6 + -4 Combine like terms: 6 + -4 = 2 -7w = 2 Divide each side by '-7'. w = -0.2857142857 Simplifying w = -0.2857142857
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