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Simplifying (2w + -7) = 6w + 13 Reorder the terms: (-7 + 2w) = 6w + 13 Remove parenthesis around (-7 + 2w) -7 + 2w = 6w + 13 Reorder the terms: -7 + 2w = 13 + 6w Solving -7 + 2w = 13 + 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. -7 + 2w + -6w = 13 + 6w + -6w Combine like terms: 2w + -6w = -4w -7 + -4w = 13 + 6w + -6w Combine like terms: 6w + -6w = 0 -7 + -4w = 13 + 0 -7 + -4w = 13 Add '7' to each side of the equation. -7 + 7 + -4w = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -4w = 13 + 7 -4w = 13 + 7 Combine like terms: 13 + 7 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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