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Simplifying 5(-9r + -12) = 60 + -5r Reorder the terms: 5(-12 + -9r) = 60 + -5r (-12 * 5 + -9r * 5) = 60 + -5r (-60 + -45r) = 60 + -5r Solving -60 + -45r = 60 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -60 + -45r + 5r = 60 + -5r + 5r Combine like terms: -45r + 5r = -40r -60 + -40r = 60 + -5r + 5r Combine like terms: -5r + 5r = 0 -60 + -40r = 60 + 0 -60 + -40r = 60 Add '60' to each side of the equation. -60 + 60 + -40r = 60 + 60 Combine like terms: -60 + 60 = 0 0 + -40r = 60 + 60 -40r = 60 + 60 Combine like terms: 60 + 60 = 120 -40r = 120 Divide each side by '-40'. r = -3 Simplifying r = -3
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