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Simplifying 7 + 4(3w + -1) = -3(3w + -2) + 3w Reorder the terms: 7 + 4(-1 + 3w) = -3(3w + -2) + 3w 7 + (-1 * 4 + 3w * 4) = -3(3w + -2) + 3w 7 + (-4 + 12w) = -3(3w + -2) + 3w Combine like terms: 7 + -4 = 3 3 + 12w = -3(3w + -2) + 3w Reorder the terms: 3 + 12w = -3(-2 + 3w) + 3w 3 + 12w = (-2 * -3 + 3w * -3) + 3w 3 + 12w = (6 + -9w) + 3w Combine like terms: -9w + 3w = -6w 3 + 12w = 6 + -6w Solving 3 + 12w = 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. 3 + 12w + 6w = 6 + -6w + 6w Combine like terms: 12w + 6w = 18w 3 + 18w = 6 + -6w + 6w Combine like terms: -6w + 6w = 0 3 + 18w = 6 + 0 3 + 18w = 6 Add '-3' to each side of the equation. 3 + -3 + 18w = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 18w = 6 + -3 18w = 6 + -3 Combine like terms: 6 + -3 = 3 18w = 3 Divide each side by '18'. w = 0.1666666667 Simplifying w = 0.1666666667
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