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Simplifying 6r + 25 = 13r + -45 Reorder the terms: 25 + 6r = 13r + -45 Reorder the terms: 25 + 6r = -45 + 13r Solving 25 + 6r = -45 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 25 + 6r + -13r = -45 + 13r + -13r Combine like terms: 6r + -13r = -7r 25 + -7r = -45 + 13r + -13r Combine like terms: 13r + -13r = 0 25 + -7r = -45 + 0 25 + -7r = -45 Add '-25' to each side of the equation. 25 + -25 + -7r = -45 + -25 Combine like terms: 25 + -25 = 0 0 + -7r = -45 + -25 -7r = -45 + -25 Combine like terms: -45 + -25 = -70 -7r = -70 Divide each side by '-7'. r = 10 Simplifying r = 10
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