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Simplifying 2(6r + -1) + 3(r + 2) = 79 Reorder the terms: 2(-1 + 6r) + 3(r + 2) = 79 (-1 * 2 + 6r * 2) + 3(r + 2) = 79 (-2 + 12r) + 3(r + 2) = 79 Reorder the terms: -2 + 12r + 3(2 + r) = 79 -2 + 12r + (2 * 3 + r * 3) = 79 -2 + 12r + (6 + 3r) = 79 Reorder the terms: -2 + 6 + 12r + 3r = 79 Combine like terms: -2 + 6 = 4 4 + 12r + 3r = 79 Combine like terms: 12r + 3r = 15r 4 + 15r = 79 Solving 4 + 15r = 79 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 15r = 79 + -4 Combine like terms: 4 + -4 = 0 0 + 15r = 79 + -4 15r = 79 + -4 Combine like terms: 79 + -4 = 75 15r = 75 Divide each side by '15'. r = 5 Simplifying r = 5
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