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Simplifying 3(2r + -1) + 5 = 5(7 + 1) Reorder the terms: 3(-1 + 2r) + 5 = 5(7 + 1) (-1 * 3 + 2r * 3) + 5 = 5(7 + 1) (-3 + 6r) + 5 = 5(7 + 1) Reorder the terms: -3 + 5 + 6r = 5(7 + 1) Combine like terms: -3 + 5 = 2 2 + 6r = 5(7 + 1) Combine like terms: 7 + 1 = 8 2 + 6r = 5(8) Multiply 5 * 8 2 + 6r = 40 Solving 2 + 6r = 40 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6r = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 6r = 40 + -2 6r = 40 + -2 Combine like terms: 40 + -2 = 38 6r = 38 Divide each side by '6'. r = 6.333333333 Simplifying r = 6.333333333
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