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Simplifying 2r + -15 = 9r + -43 Reorder the terms: -15 + 2r = 9r + -43 Reorder the terms: -15 + 2r = -43 + 9r Solving -15 + 2r = -43 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -15 + 2r + -9r = -43 + 9r + -9r Combine like terms: 2r + -9r = -7r -15 + -7r = -43 + 9r + -9r Combine like terms: 9r + -9r = 0 -15 + -7r = -43 + 0 -15 + -7r = -43 Add '15' to each side of the equation. -15 + 15 + -7r = -43 + 15 Combine like terms: -15 + 15 = 0 0 + -7r = -43 + 15 -7r = -43 + 15 Combine like terms: -43 + 15 = -28 -7r = -28 Divide each side by '-7'. r = 4 Simplifying r = 4
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