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Simplifying -5(-6w + 2) + -6w = 6(w + -2) + -8 Reorder the terms: -5(2 + -6w) + -6w = 6(w + -2) + -8 (2 * -5 + -6w * -5) + -6w = 6(w + -2) + -8 (-10 + 30w) + -6w = 6(w + -2) + -8 Combine like terms: 30w + -6w = 24w -10 + 24w = 6(w + -2) + -8 Reorder the terms: -10 + 24w = 6(-2 + w) + -8 -10 + 24w = (-2 * 6 + w * 6) + -8 -10 + 24w = (-12 + 6w) + -8 Reorder the terms: -10 + 24w = -12 + -8 + 6w Combine like terms: -12 + -8 = -20 -10 + 24w = -20 + 6w Solving -10 + 24w = -20 + 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. -10 + 24w + -6w = -20 + 6w + -6w Combine like terms: 24w + -6w = 18w -10 + 18w = -20 + 6w + -6w Combine like terms: 6w + -6w = 0 -10 + 18w = -20 + 0 -10 + 18w = -20 Add '10' to each side of the equation. -10 + 10 + 18w = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 18w = -20 + 10 18w = -20 + 10 Combine like terms: -20 + 10 = -10 18w = -10 Divide each side by '18'. w = -0.5555555556 Simplifying w = -0.5555555556
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