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Simplifying 3w + -1(10 + 6w) = 2(w + -4) 3w + (10 * -1 + 6w * -1) = 2(w + -4) 3w + (-10 + -6w) = 2(w + -4) Reorder the terms: -10 + 3w + -6w = 2(w + -4) Combine like terms: 3w + -6w = -3w -10 + -3w = 2(w + -4) Reorder the terms: -10 + -3w = 2(-4 + w) -10 + -3w = (-4 * 2 + w * 2) -10 + -3w = (-8 + 2w) Solving -10 + -3w = -8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -10 + -3w + -2w = -8 + 2w + -2w Combine like terms: -3w + -2w = -5w -10 + -5w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + -5w = -8 + 0 -10 + -5w = -8 Add '10' to each side of the equation. -10 + 10 + -5w = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -5w = -8 + 10 -5w = -8 + 10 Combine like terms: -8 + 10 = 2 -5w = 2 Divide each side by '-5'. w = -0.4 Simplifying w = -0.4
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