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Simplifying 5r + 3 = -2(1 + -7r) Reorder the terms: 3 + 5r = -2(1 + -7r) 3 + 5r = (1 * -2 + -7r * -2) 3 + 5r = (-2 + 14r) Solving 3 + 5r = -2 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 3 + 5r + -14r = -2 + 14r + -14r Combine like terms: 5r + -14r = -9r 3 + -9r = -2 + 14r + -14r Combine like terms: 14r + -14r = 0 3 + -9r = -2 + 0 3 + -9r = -2 Add '-3' to each side of the equation. 3 + -3 + -9r = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -9r = -2 + -3 -9r = -2 + -3 Combine like terms: -2 + -3 = -5 -9r = -5 Divide each side by '-9'. r = 0.5555555556 Simplifying r = 0.5555555556
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