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Simplifying -1(r + 5) + -1(2 + 7r) + 8r = 3r + -8 Reorder the terms: -1(5 + r) + -1(2 + 7r) + 8r = 3r + -8 (5 * -1 + r * -1) + -1(2 + 7r) + 8r = 3r + -8 (-5 + -1r) + -1(2 + 7r) + 8r = 3r + -8 -5 + -1r + (2 * -1 + 7r * -1) + 8r = 3r + -8 -5 + -1r + (-2 + -7r) + 8r = 3r + -8 Reorder the terms: -5 + -2 + -1r + -7r + 8r = 3r + -8 Combine like terms: -5 + -2 = -7 -7 + -1r + -7r + 8r = 3r + -8 Combine like terms: -1r + -7r = -8r -7 + -8r + 8r = 3r + -8 Combine like terms: -8r + 8r = 0 -7 + 0 = 3r + -8 -7 = 3r + -8 Reorder the terms: -7 = -8 + 3r Solving -7 = -8 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -7 + -3r = -8 + 3r + -3r Combine like terms: 3r + -3r = 0 -7 + -3r = -8 + 0 -7 + -3r = -8 Add '7' to each side of the equation. -7 + 7 + -3r = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -3r = -8 + 7 -3r = -8 + 7 Combine like terms: -8 + 7 = -1 -3r = -1 Divide each side by '-3'. r = 0.3333333333 Simplifying r = 0.3333333333
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