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Simplifying 12 + -5(3r + 2) = 17 Reorder the terms: 12 + -5(2 + 3r) = 17 12 + (2 * -5 + 3r * -5) = 17 12 + (-10 + -15r) = 17 Combine like terms: 12 + -10 = 2 2 + -15r = 17 Solving 2 + -15r = 17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -15r = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -15r = 17 + -2 -15r = 17 + -2 Combine like terms: 17 + -2 = 15 -15r = 15 Divide each side by '-15'. r = -1 Simplifying r = -1
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