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Simplifying 8(1 + 7r) + 2(1 + 8r) = -62 (1 * 8 + 7r * 8) + 2(1 + 8r) = -62 (8 + 56r) + 2(1 + 8r) = -62 8 + 56r + (1 * 2 + 8r * 2) = -62 8 + 56r + (2 + 16r) = -62 Reorder the terms: 8 + 2 + 56r + 16r = -62 Combine like terms: 8 + 2 = 10 10 + 56r + 16r = -62 Combine like terms: 56r + 16r = 72r 10 + 72r = -62 Solving 10 + 72r = -62 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 + -10 + 72r = -62 + -10 Combine like terms: 10 + -10 = 0 0 + 72r = -62 + -10 72r = -62 + -10 Combine like terms: -62 + -10 = -72 72r = -72 Divide each side by '72'. r = -1 Simplifying r = -1
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