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Simplifying -6 + -7r + -14 = 32 + 6r Reorder the terms: -6 + -14 + -7r = 32 + 6r Combine like terms: -6 + -14 = -20 -20 + -7r = 32 + 6r Solving -20 + -7r = 32 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -20 + -7r + -6r = 32 + 6r + -6r Combine like terms: -7r + -6r = -13r -20 + -13r = 32 + 6r + -6r Combine like terms: 6r + -6r = 0 -20 + -13r = 32 + 0 -20 + -13r = 32 Add '20' to each side of the equation. -20 + 20 + -13r = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -13r = 32 + 20 -13r = 32 + 20 Combine like terms: 32 + 20 = 52 -13r = 52 Divide each side by '-13'. r = -4 Simplifying r = -4
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