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Simplifying -1(r + 5) = 2(5r + -6) Reorder the terms: -1(5 + r) = 2(5r + -6) (5 * -1 + r * -1) = 2(5r + -6) (-5 + -1r) = 2(5r + -6) Reorder the terms: -5 + -1r = 2(-6 + 5r) -5 + -1r = (-6 * 2 + 5r * 2) -5 + -1r = (-12 + 10r) Solving -5 + -1r = -12 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -5 + -1r + -10r = -12 + 10r + -10r Combine like terms: -1r + -10r = -11r -5 + -11r = -12 + 10r + -10r Combine like terms: 10r + -10r = 0 -5 + -11r = -12 + 0 -5 + -11r = -12 Add '5' to each side of the equation. -5 + 5 + -11r = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -11r = -12 + 5 -11r = -12 + 5 Combine like terms: -12 + 5 = -7 -11r = -7 Divide each side by '-11'. r = 0.6363636364 Simplifying r = 0.6363636364
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