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Simplifying -7(5r + 6) + 5(5r + 6) = 0 Reorder the terms: -7(6 + 5r) + 5(5r + 6) = 0 (6 * -7 + 5r * -7) + 5(5r + 6) = 0 (-42 + -35r) + 5(5r + 6) = 0 Reorder the terms: -42 + -35r + 5(6 + 5r) = 0 -42 + -35r + (6 * 5 + 5r * 5) = 0 -42 + -35r + (30 + 25r) = 0 Reorder the terms: -42 + 30 + -35r + 25r = 0 Combine like terms: -42 + 30 = -12 -12 + -35r + 25r = 0 Combine like terms: -35r + 25r = -10r -12 + -10r = 0 Solving -12 + -10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -10r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -10r = 0 + 12 -10r = 0 + 12 Combine like terms: 0 + 12 = 12 -10r = 12 Divide each side by '-10'. r = -1.2 Simplifying r = -1.2
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