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Simplifying -3w + -13 = 3w + -7 Reorder the terms: -13 + -3w = 3w + -7 Reorder the terms: -13 + -3w = -7 + 3w Solving -13 + -3w = -7 + 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 = -7 + 3w + -3w Combine like terms: -3w + -3w = -6w -13 + -6w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 -13 + -6w = -7 + 0 -13 + -6w = -7 Add '13' to each side of the equation. -13 + 13 + -6w = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -6w = -7 + 13 -6w = -7 + 13 Combine like terms: -7 + 13 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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