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Simplifying 12r + -5(3r + 2) = 17 Reorder the terms: 12r + -5(2 + 3r) = 17 12r + (2 * -5 + 3r * -5) = 17 12r + (-10 + -15r) = 17 Reorder the terms: -10 + 12r + -15r = 17 Combine like terms: 12r + -15r = -3r -10 + -3r = 17 Solving -10 + -3r = 17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3r = 17 + 10 Combine like terms: -10 + 10 = 0 0 + -3r = 17 + 10 -3r = 17 + 10 Combine like terms: 17 + 10 = 27 -3r = 27 Divide each side by '-3'. r = -9 Simplifying r = -9
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