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Simplifying 10 + -3R = 3(6 + -5R) 10 + -3R = (6 * 3 + -5R * 3) 10 + -3R = (18 + -15R) Solving 10 + -3R = 18 + -15R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '15R' to each side of the equation. 10 + -3R + 15R = 18 + -15R + 15R Combine like terms: -3R + 15R = 12R 10 + 12R = 18 + -15R + 15R Combine like terms: -15R + 15R = 0 10 + 12R = 18 + 0 10 + 12R = 18 Add '-10' to each side of the equation. 10 + -10 + 12R = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 12R = 18 + -10 12R = 18 + -10 Combine like terms: 18 + -10 = 8 12R = 8 Divide each side by '12'. R = 0.6666666667 Simplifying R = 0.6666666667
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