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Simplifying -2(5r + 6) + 5(r + -9) = 0 Reorder the terms: -2(6 + 5r) + 5(r + -9) = 0 (6 * -2 + 5r * -2) + 5(r + -9) = 0 (-12 + -10r) + 5(r + -9) = 0 Reorder the terms: -12 + -10r + 5(-9 + r) = 0 -12 + -10r + (-9 * 5 + r * 5) = 0 -12 + -10r + (-45 + 5r) = 0 Reorder the terms: -12 + -45 + -10r + 5r = 0 Combine like terms: -12 + -45 = -57 -57 + -10r + 5r = 0 Combine like terms: -10r + 5r = -5r -57 + -5r = 0 Solving -57 + -5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -5r = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -5r = 0 + 57 -5r = 0 + 57 Combine like terms: 0 + 57 = 57 -5r = 57 Divide each side by '-5'. r = -11.4 Simplifying r = -11.4
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