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Simplifying (8r + s + 5) + -1(r + 8s + -5) = 0 Reorder the terms: (5 + 8r + s) + -1(r + 8s + -5) = 0 Remove parenthesis around (5 + 8r + s) 5 + 8r + s + -1(r + 8s + -5) = 0 Reorder the terms: 5 + 8r + s + -1(-5 + r + 8s) = 0 5 + 8r + s + (-5 * -1 + r * -1 + 8s * -1) = 0 5 + 8r + s + (5 + -1r + -8s) = 0 Reorder the terms: 5 + 5 + 8r + -1r + s + -8s = 0 Combine like terms: 5 + 5 = 10 10 + 8r + -1r + s + -8s = 0 Combine like terms: 8r + -1r = 7r 10 + 7r + s + -8s = 0 Combine like terms: s + -8s = -7s 10 + 7r + -7s = 0 Solving 10 + 7r + -7s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 7r + -10 + -7s = 0 + -10 Reorder the terms: 10 + -10 + 7r + -7s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7r + -7s = 0 + -10 7r + -7s = 0 + -10 Combine like terms: 0 + -10 = -10 7r + -7s = -10 Add '7s' to each side of the equation. 7r + -7s + 7s = -10 + 7s Combine like terms: -7s + 7s = 0 7r + 0 = -10 + 7s 7r = -10 + 7s Divide each side by '7'. r = -1.428571429 + s Simplifying r = -1.428571429 + s
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