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Simplifying 10 = -2(3w + 1) Reorder the terms: 10 = -2(1 + 3w) 10 = (1 * -2 + 3w * -2) 10 = (-2 + -6w) Solving 10 = -2 + -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 + 6w = -2 + -6w + 6w Combine like terms: -6w + 6w = 0 10 + 6w = -2 + 0 10 + 6w = -2 Add '-10' to each side of the equation. 10 + -10 + 6w = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = -2 + -10 6w = -2 + -10 Combine like terms: -2 + -10 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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