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Simplifying 7(2r + 5) = -5(r + 7) + 5r Reorder the terms: 7(5 + 2r) = -5(r + 7) + 5r (5 * 7 + 2r * 7) = -5(r + 7) + 5r (35 + 14r) = -5(r + 7) + 5r Reorder the terms: 35 + 14r = -5(7 + r) + 5r 35 + 14r = (7 * -5 + r * -5) + 5r 35 + 14r = (-35 + -5r) + 5r Combine like terms: -5r + 5r = 0 35 + 14r = -35 + 0 35 + 14r = -35 Solving 35 + 14r = -35 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 14r = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 14r = -35 + -35 14r = -35 + -35 Combine like terms: -35 + -35 = -70 14r = -70 Divide each side by '14'. r = -5 Simplifying r = -5
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