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Simplifying 142.216 = 4.923r + 5.3(-5.1r + 7.646) Reorder the terms: 142.216 = 4.923r + 5.3(7.646 + -5.1r) 142.216 = 4.923r + (7.646 * 5.3 + -5.1r * 5.3) 142.216 = 4.923r + (40.5238 + -27.03r) Reorder the terms: 142.216 = 40.5238 + 4.923r + -27.03r Combine like terms: 4.923r + -27.03r = -22.107r 142.216 = 40.5238 + -22.107r Solving 142.216 = 40.5238 + -22.107r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22.107r' to each side of the equation. 142.216 + 22.107r = 40.5238 + -22.107r + 22.107r Combine like terms: -22.107r + 22.107r = 0.000 142.216 + 22.107r = 40.5238 + 0.000 142.216 + 22.107r = 40.5238 Add '-142.216' to each side of the equation. 142.216 + -142.216 + 22.107r = 40.5238 + -142.216 Combine like terms: 142.216 + -142.216 = 0.000 0.000 + 22.107r = 40.5238 + -142.216 22.107r = 40.5238 + -142.216 Combine like terms: 40.5238 + -142.216 = -101.6922 22.107r = -101.6922 Divide each side by '22.107'. r = -4.6 Simplifying r = -4.6
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