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Simplifying 5(r + -5) + 7r = 12 + -74 Reorder the terms: 5(-5 + r) + 7r = 12 + -74 (-5 * 5 + r * 5) + 7r = 12 + -74 (-25 + 5r) + 7r = 12 + -74 Combine like terms: 5r + 7r = 12r -25 + 12r = 12 + -74 Combine like terms: 12 + -74 = -62 -25 + 12r = -62 Solving -25 + 12r = -62 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 12r = -62 + 25 Combine like terms: -25 + 25 = 0 0 + 12r = -62 + 25 12r = -62 + 25 Combine like terms: -62 + 25 = -37 12r = -37 Divide each side by '12'. r = -3.083333333 Simplifying r = -3.083333333
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