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Simplifying 7(8r + 6) = -20 + -3r Reorder the terms: 7(6 + 8r) = -20 + -3r (6 * 7 + 8r * 7) = -20 + -3r (42 + 56r) = -20 + -3r Solving 42 + 56r = -20 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 42 + 56r + 3r = -20 + -3r + 3r Combine like terms: 56r + 3r = 59r 42 + 59r = -20 + -3r + 3r Combine like terms: -3r + 3r = 0 42 + 59r = -20 + 0 42 + 59r = -20 Add '-42' to each side of the equation. 42 + -42 + 59r = -20 + -42 Combine like terms: 42 + -42 = 0 0 + 59r = -20 + -42 59r = -20 + -42 Combine like terms: -20 + -42 = -62 59r = -62 Divide each side by '59'. r = -1.050847458 Simplifying r = -1.050847458
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