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Simplifying 3w + 13 = -3w + 1 Reorder the terms: 13 + 3w = -3w + 1 Reorder the terms: 13 + 3w = 1 + -3w Solving 13 + 3w = 1 + -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. 13 + 3w + 3w = 1 + -3w + 3w Combine like terms: 3w + 3w = 6w 13 + 6w = 1 + -3w + 3w Combine like terms: -3w + 3w = 0 13 + 6w = 1 + 0 13 + 6w = 1 Add '-13' to each side of the equation. 13 + -13 + 6w = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 6w = 1 + -13 6w = 1 + -13 Combine like terms: 1 + -13 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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