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Simplifying -3(7r + 10) + 6(10r + 2) = 0 Reorder the terms: -3(10 + 7r) + 6(10r + 2) = 0 (10 * -3 + 7r * -3) + 6(10r + 2) = 0 (-30 + -21r) + 6(10r + 2) = 0 Reorder the terms: -30 + -21r + 6(2 + 10r) = 0 -30 + -21r + (2 * 6 + 10r * 6) = 0 -30 + -21r + (12 + 60r) = 0 Reorder the terms: -30 + 12 + -21r + 60r = 0 Combine like terms: -30 + 12 = -18 -18 + -21r + 60r = 0 Combine like terms: -21r + 60r = 39r -18 + 39r = 0 Solving -18 + 39r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 39r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 39r = 0 + 18 39r = 0 + 18 Combine like terms: 0 + 18 = 18 39r = 18 Divide each side by '39'. r = 0.4615384615 Simplifying r = 0.4615384615
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