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Simplifying -1r + 16 = -7r + -8(1 + -5r) Reorder the terms: 16 + -1r = -7r + -8(1 + -5r) 16 + -1r = -7r + (1 * -8 + -5r * -8) 16 + -1r = -7r + (-8 + 40r) Reorder the terms: 16 + -1r = -8 + -7r + 40r Combine like terms: -7r + 40r = 33r 16 + -1r = -8 + 33r Solving 16 + -1r = -8 + 33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-33r' to each side of the equation. 16 + -1r + -33r = -8 + 33r + -33r Combine like terms: -1r + -33r = -34r 16 + -34r = -8 + 33r + -33r Combine like terms: 33r + -33r = 0 16 + -34r = -8 + 0 16 + -34r = -8 Add '-16' to each side of the equation. 16 + -16 + -34r = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -34r = -8 + -16 -34r = -8 + -16 Combine like terms: -8 + -16 = -24 -34r = -24 Divide each side by '-34'. r = 0.7058823529 Simplifying r = 0.7058823529
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