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Simplifying r + 7 = 12(r + -2) Reorder the terms: 7 + r = 12(r + -2) Reorder the terms: 7 + r = 12(-2 + r) 7 + r = (-2 * 12 + r * 12) 7 + r = (-24 + 12r) Solving 7 + r = -24 + 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. 7 + r + -12r = -24 + 12r + -12r Combine like terms: r + -12r = -11r 7 + -11r = -24 + 12r + -12r Combine like terms: 12r + -12r = 0 7 + -11r = -24 + 0 7 + -11r = -24 Add '-7' to each side of the equation. 7 + -7 + -11r = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -11r = -24 + -7 -11r = -24 + -7 Combine like terms: -24 + -7 = -31 -11r = -31 Divide each side by '-11'. r = 2.818181818 Simplifying r = 2.818181818
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