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Simplifying 96r + -20r + 40 = 38r + -30 + 45r Reorder the terms: 40 + 96r + -20r = 38r + -30 + 45r Combine like terms: 96r + -20r = 76r 40 + 76r = 38r + -30 + 45r Reorder the terms: 40 + 76r = -30 + 38r + 45r Combine like terms: 38r + 45r = 83r 40 + 76r = -30 + 83r Solving 40 + 76r = -30 + 83r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-83r' to each side of the equation. 40 + 76r + -83r = -30 + 83r + -83r Combine like terms: 76r + -83r = -7r 40 + -7r = -30 + 83r + -83r Combine like terms: 83r + -83r = 0 40 + -7r = -30 + 0 40 + -7r = -30 Add '-40' to each side of the equation. 40 + -40 + -7r = -30 + -40 Combine like terms: 40 + -40 = 0 0 + -7r = -30 + -40 -7r = -30 + -40 Combine like terms: -30 + -40 = -70 -7r = -70 Divide each side by '-7'. r = 10 Simplifying r = 10
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