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Simplifying 3(w + -3) + -2 = -2(-7w + 4) + -5w Reorder the terms: 3(-3 + w) + -2 = -2(-7w + 4) + -5w (-3 * 3 + w * 3) + -2 = -2(-7w + 4) + -5w (-9 + 3w) + -2 = -2(-7w + 4) + -5w Reorder the terms: -9 + -2 + 3w = -2(-7w + 4) + -5w Combine like terms: -9 + -2 = -11 -11 + 3w = -2(-7w + 4) + -5w Reorder the terms: -11 + 3w = -2(4 + -7w) + -5w -11 + 3w = (4 * -2 + -7w * -2) + -5w -11 + 3w = (-8 + 14w) + -5w Combine like terms: 14w + -5w = 9w -11 + 3w = -8 + 9w Solving -11 + 3w = -8 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -11 + 3w + -9w = -8 + 9w + -9w Combine like terms: 3w + -9w = -6w -11 + -6w = -8 + 9w + -9w Combine like terms: 9w + -9w = 0 -11 + -6w = -8 + 0 -11 + -6w = -8 Add '11' to each side of the equation. -11 + 11 + -6w = -8 + 11 Combine like terms: -11 + 11 = 0 0 + -6w = -8 + 11 -6w = -8 + 11 Combine like terms: -8 + 11 = 3 -6w = 3 Divide each side by '-6'. w = -0.5 Simplifying w = -0.5
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