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Simplifying (r + -8) = 3(11 + -4r) + -58 Reorder the terms: (-8 + r) = 3(11 + -4r) + -58 Remove parenthesis around (-8 + r) -8 + r = 3(11 + -4r) + -58 -8 + r = (11 * 3 + -4r * 3) + -58 -8 + r = (33 + -12r) + -58 Reorder the terms: -8 + r = 33 + -58 + -12r Combine like terms: 33 + -58 = -25 -8 + r = -25 + -12r Solving -8 + r = -25 + -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. -8 + r + 12r = -25 + -12r + 12r Combine like terms: r + 12r = 13r -8 + 13r = -25 + -12r + 12r Combine like terms: -12r + 12r = 0 -8 + 13r = -25 + 0 -8 + 13r = -25 Add '8' to each side of the equation. -8 + 8 + 13r = -25 + 8 Combine like terms: -8 + 8 = 0 0 + 13r = -25 + 8 13r = -25 + 8 Combine like terms: -25 + 8 = -17 13r = -17 Divide each side by '13'. r = -1.307692308 Simplifying r = -1.307692308
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