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Simplifying 4(3r + 2) + -3n = 10 Reorder the terms: 4(2 + 3r) + -3n = 10 (2 * 4 + 3r * 4) + -3n = 10 (8 + 12r) + -3n = 10 Reorder the terms: 8 + -3n + 12r = 10 Solving 8 + -3n + 12r = 10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -3n + -8 + 12r = 10 + -8 Reorder the terms: 8 + -8 + -3n + 12r = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -3n + 12r = 10 + -8 -3n + 12r = 10 + -8 Combine like terms: 10 + -8 = 2 -3n + 12r = 2 Add '-12r' to each side of the equation. -3n + 12r + -12r = 2 + -12r Combine like terms: 12r + -12r = 0 -3n + 0 = 2 + -12r -3n = 2 + -12r Divide each side by '-3'. n = -0.6666666667 + 4r Simplifying n = -0.6666666667 + 4r
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