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Simplifying 17.5 = -7 + 3(r + 6.5) Reorder the terms: 17.5 = -7 + 3(6.5 + r) 17.5 = -7 + (6.5 * 3 + r * 3) 17.5 = -7 + (19.5 + 3r) Combine like terms: -7 + 19.5 = 12.5 17.5 = 12.5 + 3r Solving 17.5 = 12.5 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 17.5 + -3r = 12.5 + 3r + -3r Combine like terms: 3r + -3r = 0 17.5 + -3r = 12.5 + 0 17.5 + -3r = 12.5 Add '-17.5' to each side of the equation. 17.5 + -17.5 + -3r = 12.5 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -3r = 12.5 + -17.5 -3r = 12.5 + -17.5 Combine like terms: 12.5 + -17.5 = -5 -3r = -5 Divide each side by '-3'. r = 1.666666667 Simplifying r = 1.666666667
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