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Simplifying 5(2r + 1) + -7r = r + -1 Reorder the terms: 5(1 + 2r) + -7r = r + -1 (1 * 5 + 2r * 5) + -7r = r + -1 (5 + 10r) + -7r = r + -1 Combine like terms: 10r + -7r = 3r 5 + 3r = r + -1 Reorder the terms: 5 + 3r = -1 + r Solving 5 + 3r = -1 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 5 + 3r + -1r = -1 + r + -1r Combine like terms: 3r + -1r = 2r 5 + 2r = -1 + r + -1r Combine like terms: r + -1r = 0 5 + 2r = -1 + 0 5 + 2r = -1 Add '-5' to each side of the equation. 5 + -5 + 2r = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = -1 + -5 2r = -1 + -5 Combine like terms: -1 + -5 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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