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Simplifying -9(9 + r) + -3(10r + -1) = 39 (9 * -9 + r * -9) + -3(10r + -1) = 39 (-81 + -9r) + -3(10r + -1) = 39 Reorder the terms: -81 + -9r + -3(-1 + 10r) = 39 -81 + -9r + (-1 * -3 + 10r * -3) = 39 -81 + -9r + (3 + -30r) = 39 Reorder the terms: -81 + 3 + -9r + -30r = 39 Combine like terms: -81 + 3 = -78 -78 + -9r + -30r = 39 Combine like terms: -9r + -30r = -39r -78 + -39r = 39 Solving -78 + -39r = 39 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + -39r = 39 + 78 Combine like terms: -78 + 78 = 0 0 + -39r = 39 + 78 -39r = 39 + 78 Combine like terms: 39 + 78 = 117 -39r = 117 Divide each side by '-39'. r = -3 Simplifying r = -3
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