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Simplifying 3w + 10 = 6w + -5 Reorder the terms: 10 + 3w = 6w + -5 Reorder the terms: 10 + 3w = -5 + 6w Solving 10 + 3w = -5 + 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 + 3w + -6w = -5 + 6w + -6w Combine like terms: 3w + -6w = -3w 10 + -3w = -5 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -3w = -5 + 0 10 + -3w = -5 Add '-10' to each side of the equation. 10 + -10 + -3w = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = -5 + -10 -3w = -5 + -10 Combine like terms: -5 + -10 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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