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Simplifying 13 + 5(2r + -12) = 23 Reorder the terms: 13 + 5(-12 + 2r) = 23 13 + (-12 * 5 + 2r * 5) = 23 13 + (-60 + 10r) = 23 Combine like terms: 13 + -60 = -47 -47 + 10r = 23 Solving -47 + 10r = 23 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 10r = 23 + 47 Combine like terms: -47 + 47 = 0 0 + 10r = 23 + 47 10r = 23 + 47 Combine like terms: 23 + 47 = 70 10r = 70 Divide each side by '10'. r = 7 Simplifying r = 7
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