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Simplifying -5(-7r + -3) + 7(4 + -8r) = 43 Reorder the terms: -5(-3 + -7r) + 7(4 + -8r) = 43 (-3 * -5 + -7r * -5) + 7(4 + -8r) = 43 (15 + 35r) + 7(4 + -8r) = 43 15 + 35r + (4 * 7 + -8r * 7) = 43 15 + 35r + (28 + -56r) = 43 Reorder the terms: 15 + 28 + 35r + -56r = 43 Combine like terms: 15 + 28 = 43 43 + 35r + -56r = 43 Combine like terms: 35r + -56r = -21r 43 + -21r = 43 Add '-43' to each side of the equation. 43 + -43 + -21r = 43 + -43 Combine like terms: 43 + -43 = 0 0 + -21r = 43 + -43 -21r = 43 + -43 Combine like terms: 43 + -43 = 0 -21r = 0 Solving -21r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '-21'. r = 0 Simplifying r = 0
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