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Simplifying 2(5r + -2) + -3(r + -3) = 0 Reorder the terms: 2(-2 + 5r) + -3(r + -3) = 0 (-2 * 2 + 5r * 2) + -3(r + -3) = 0 (-4 + 10r) + -3(r + -3) = 0 Reorder the terms: -4 + 10r + -3(-3 + r) = 0 -4 + 10r + (-3 * -3 + r * -3) = 0 -4 + 10r + (9 + -3r) = 0 Reorder the terms: -4 + 9 + 10r + -3r = 0 Combine like terms: -4 + 9 = 5 5 + 10r + -3r = 0 Combine like terms: 10r + -3r = 7r 5 + 7r = 0 Solving 5 + 7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7r = 0 + -5 7r = 0 + -5 Combine like terms: 0 + -5 = -5 7r = -5 Divide each side by '7'. r = -0.7142857143 Simplifying r = -0.7142857143
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