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Simplifying 3(3r + 1) + -1(r + -1) = 6(x + 10) Reorder the terms: 3(1 + 3r) + -1(r + -1) = 6(x + 10) (1 * 3 + 3r * 3) + -1(r + -1) = 6(x + 10) (3 + 9r) + -1(r + -1) = 6(x + 10) Reorder the terms: 3 + 9r + -1(-1 + r) = 6(x + 10) 3 + 9r + (-1 * -1 + r * -1) = 6(x + 10) 3 + 9r + (1 + -1r) = 6(x + 10) Reorder the terms: 3 + 1 + 9r + -1r = 6(x + 10) Combine like terms: 3 + 1 = 4 4 + 9r + -1r = 6(x + 10) Combine like terms: 9r + -1r = 8r 4 + 8r = 6(x + 10) Reorder the terms: 4 + 8r = 6(10 + x) 4 + 8r = (10 * 6 + x * 6) 4 + 8r = (60 + 6x) Solving 4 + 8r = 60 + 6x 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 + 8r = 60 + -4 + 6x Combine like terms: 4 + -4 = 0 0 + 8r = 60 + -4 + 6x 8r = 60 + -4 + 6x Combine like terms: 60 + -4 = 56 8r = 56 + 6x Divide each side by '8'. r = 7 + 0.75x Simplifying r = 7 + 0.75x
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