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Simplifying (8r + -2) + (4r + -3) = 0 Reorder the terms: (-2 + 8r) + (4r + -3) = 0 Remove parenthesis around (-2 + 8r) -2 + 8r + (4r + -3) = 0 Reorder the terms: -2 + 8r + (-3 + 4r) = 0 Remove parenthesis around (-3 + 4r) -2 + 8r + -3 + 4r = 0 Reorder the terms: -2 + -3 + 8r + 4r = 0 Combine like terms: -2 + -3 = -5 -5 + 8r + 4r = 0 Combine like terms: 8r + 4r = 12r -5 + 12r = 0 Solving -5 + 12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12r = 0 + 5 12r = 0 + 5 Combine like terms: 0 + 5 = 5 12r = 5 Divide each side by '12'. r = 0.4166666667 Simplifying r = 0.4166666667
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