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Simplifying 3(2r + -5) + (r + -2) = 0 Reorder the terms: 3(-5 + 2r) + (r + -2) = 0 (-5 * 3 + 2r * 3) + (r + -2) = 0 (-15 + 6r) + (r + -2) = 0 Reorder the terms: -15 + 6r + (-2 + r) = 0 Remove parenthesis around (-2 + r) -15 + 6r + -2 + r = 0 Reorder the terms: -15 + -2 + 6r + r = 0 Combine like terms: -15 + -2 = -17 -17 + 6r + r = 0 Combine like terms: 6r + r = 7r -17 + 7r = 0 Solving -17 + 7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 7r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 7r = 0 + 17 7r = 0 + 17 Combine like terms: 0 + 17 = 17 7r = 17 Divide each side by '7'. r = 2.428571429 Simplifying r = 2.428571429
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