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Simplifying 70 = 3(5r + 6) + -8 Reorder the terms: 70 = 3(6 + 5r) + -8 70 = (6 * 3 + 5r * 3) + -8 70 = (18 + 15r) + -8 Reorder the terms: 70 = 18 + -8 + 15r Combine like terms: 18 + -8 = 10 70 = 10 + 15r Solving 70 = 10 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 70 + -15r = 10 + 15r + -15r Combine like terms: 15r + -15r = 0 70 + -15r = 10 + 0 70 + -15r = 10 Add '-70' to each side of the equation. 70 + -70 + -15r = 10 + -70 Combine like terms: 70 + -70 = 0 0 + -15r = 10 + -70 -15r = 10 + -70 Combine like terms: 10 + -70 = -60 -15r = -60 Divide each side by '-15'. r = 4 Simplifying r = 4
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