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Simplifying -7(10r + 3) + 8(7r + 8) = 0 Reorder the terms: -7(3 + 10r) + 8(7r + 8) = 0 (3 * -7 + 10r * -7) + 8(7r + 8) = 0 (-21 + -70r) + 8(7r + 8) = 0 Reorder the terms: -21 + -70r + 8(8 + 7r) = 0 -21 + -70r + (8 * 8 + 7r * 8) = 0 -21 + -70r + (64 + 56r) = 0 Reorder the terms: -21 + 64 + -70r + 56r = 0 Combine like terms: -21 + 64 = 43 43 + -70r + 56r = 0 Combine like terms: -70r + 56r = -14r 43 + -14r = 0 Solving 43 + -14r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -14r = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -14r = 0 + -43 -14r = 0 + -43 Combine like terms: 0 + -43 = -43 -14r = -43 Divide each side by '-14'. r = 3.071428571 Simplifying r = 3.071428571
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