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Simplifying -2(3w + 5) = 3w + -4 Reorder the terms: -2(5 + 3w) = 3w + -4 (5 * -2 + 3w * -2) = 3w + -4 (-10 + -6w) = 3w + -4 Reorder the terms: -10 + -6w = -4 + 3w Solving -10 + -6w = -4 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -10 + -6w + -3w = -4 + 3w + -3w Combine like terms: -6w + -3w = -9w -10 + -9w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 -10 + -9w = -4 + 0 -10 + -9w = -4 Add '10' to each side of the equation. -10 + 10 + -9w = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -9w = -4 + 10 -9w = -4 + 10 Combine like terms: -4 + 10 = 6 -9w = 6 Divide each side by '-9'. w = -0.6666666667 Simplifying w = -0.6666666667
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