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Simplifying -10(r + -8) + 1 = -1(-6 + 7r) + 3 Reorder the terms: -10(-8 + r) + 1 = -1(-6 + 7r) + 3 (-8 * -10 + r * -10) + 1 = -1(-6 + 7r) + 3 (80 + -10r) + 1 = -1(-6 + 7r) + 3 Reorder the terms: 80 + 1 + -10r = -1(-6 + 7r) + 3 Combine like terms: 80 + 1 = 81 81 + -10r = -1(-6 + 7r) + 3 81 + -10r = (-6 * -1 + 7r * -1) + 3 81 + -10r = (6 + -7r) + 3 Reorder the terms: 81 + -10r = 6 + 3 + -7r Combine like terms: 6 + 3 = 9 81 + -10r = 9 + -7r Solving 81 + -10r = 9 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 81 + -10r + 7r = 9 + -7r + 7r Combine like terms: -10r + 7r = -3r 81 + -3r = 9 + -7r + 7r Combine like terms: -7r + 7r = 0 81 + -3r = 9 + 0 81 + -3r = 9 Add '-81' to each side of the equation. 81 + -81 + -3r = 9 + -81 Combine like terms: 81 + -81 = 0 0 + -3r = 9 + -81 -3r = 9 + -81 Combine like terms: 9 + -81 = -72 -3r = -72 Divide each side by '-3'. r = 24 Simplifying r = 24
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