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Simplifying 3(6r + -1) + -7(1 + -3r) = 68 Reorder the terms: 3(-1 + 6r) + -7(1 + -3r) = 68 (-1 * 3 + 6r * 3) + -7(1 + -3r) = 68 (-3 + 18r) + -7(1 + -3r) = 68 -3 + 18r + (1 * -7 + -3r * -7) = 68 -3 + 18r + (-7 + 21r) = 68 Reorder the terms: -3 + -7 + 18r + 21r = 68 Combine like terms: -3 + -7 = -10 -10 + 18r + 21r = 68 Combine like terms: 18r + 21r = 39r -10 + 39r = 68 Solving -10 + 39r = 68 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 39r = 68 + 10 Combine like terms: -10 + 10 = 0 0 + 39r = 68 + 10 39r = 68 + 10 Combine like terms: 68 + 10 = 78 39r = 78 Divide each side by '39'. r = 2 Simplifying r = 2
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