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Simplifying 7r + -61 = 5(9r + 3) Reorder the terms: -61 + 7r = 5(9r + 3) Reorder the terms: -61 + 7r = 5(3 + 9r) -61 + 7r = (3 * 5 + 9r * 5) -61 + 7r = (15 + 45r) Solving -61 + 7r = 15 + 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. -61 + 7r + -45r = 15 + 45r + -45r Combine like terms: 7r + -45r = -38r -61 + -38r = 15 + 45r + -45r Combine like terms: 45r + -45r = 0 -61 + -38r = 15 + 0 -61 + -38r = 15 Add '61' to each side of the equation. -61 + 61 + -38r = 15 + 61 Combine like terms: -61 + 61 = 0 0 + -38r = 15 + 61 -38r = 15 + 61 Combine like terms: 15 + 61 = 76 -38r = 76 Divide each side by '-38'. r = -2 Simplifying r = -2
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