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Simplifying 10r + 17 = -15 + 12r Reorder the terms: 17 + 10r = -15 + 12r Solving 17 + 10r = -15 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 17 + 10r + -12r = -15 + 12r + -12r Combine like terms: 10r + -12r = -2r 17 + -2r = -15 + 12r + -12r Combine like terms: 12r + -12r = 0 17 + -2r = -15 + 0 17 + -2r = -15 Add '-17' to each side of the equation. 17 + -17 + -2r = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -2r = -15 + -17 -2r = -15 + -17 Combine like terms: -15 + -17 = -32 -2r = -32 Divide each side by '-2'. r = 16 Simplifying r = 16
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