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Simplifying 6w + 10 = 3w + -2 Reorder the terms: 10 + 6w = 3w + -2 Reorder the terms: 10 + 6w = -2 + 3w Solving 10 + 6w = -2 + 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 = -2 + 3w + -3w Combine like terms: 6w + -3w = 3w 10 + 3w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + 3w = -2 + 0 10 + 3w = -2 Add '-10' to each side of the equation. 10 + -10 + 3w = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = -2 + -10 3w = -2 + -10 Combine like terms: -2 + -10 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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