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Simplifying 71.225 = 7.7(6.3 + -5.9r) 71.225 = (6.3 * 7.7 + -5.9r * 7.7) 71.225 = (48.51 + -45.43r) Solving 71.225 = 48.51 + -45.43r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '45.43r' to each side of the equation. 71.225 + 45.43r = 48.51 + -45.43r + 45.43r Combine like terms: -45.43r + 45.43r = 0.00 71.225 + 45.43r = 48.51 + 0.00 71.225 + 45.43r = 48.51 Add '-71.225' to each side of the equation. 71.225 + -71.225 + 45.43r = 48.51 + -71.225 Combine like terms: 71.225 + -71.225 = 0.000 0.000 + 45.43r = 48.51 + -71.225 45.43r = 48.51 + -71.225 Combine like terms: 48.51 + -71.225 = -22.715 45.43r = -22.715 Divide each side by '45.43'. r = -0.5 Simplifying r = -0.5
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