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Simplifying 12 + -3(2w + 1) = 7w Reorder the terms: 12 + -3(1 + 2w) = 7w 12 + (1 * -3 + 2w * -3) = 7w 12 + (-3 + -6w) = 7w Combine like terms: 12 + -3 = 9 9 + -6w = 7w Solving 9 + -6w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 9 + -6w + -7w = 7w + -7w Combine like terms: -6w + -7w = -13w 9 + -13w = 7w + -7w Combine like terms: 7w + -7w = 0 9 + -13w = 0 Add '-9' to each side of the equation. 9 + -9 + -13w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -13w = 0 + -9 -13w = 0 + -9 Combine like terms: 0 + -9 = -9 -13w = -9 Divide each side by '-13'. w = 0.6923076923 Simplifying w = 0.6923076923
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