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Simplifying 15r + 90 = 45r + -90 Reorder the terms: 90 + 15r = 45r + -90 Reorder the terms: 90 + 15r = -90 + 45r Solving 90 + 15r = -90 + 45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45r' to each side of the equation. 90 + 15r + -45r = -90 + 45r + -45r Combine like terms: 15r + -45r = -30r 90 + -30r = -90 + 45r + -45r Combine like terms: 45r + -45r = 0 90 + -30r = -90 + 0 90 + -30r = -90 Add '-90' to each side of the equation. 90 + -90 + -30r = -90 + -90 Combine like terms: 90 + -90 = 0 0 + -30r = -90 + -90 -30r = -90 + -90 Combine like terms: -90 + -90 = -180 -30r = -180 Divide each side by '-30'. r = 6 Simplifying r = 6
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