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Simplifying 10x + 6 + -1n + -2 = 12n + 3 Reorder the terms: 6 + -2 + -1n + 10x = 12n + 3 Combine like terms: 6 + -2 = 4 4 + -1n + 10x = 12n + 3 Reorder the terms: 4 + -1n + 10x = 3 + 12n Solving 4 + -1n + 10x = 3 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 4 + -1n + -12n + 10x = 3 + 12n + -12n Combine like terms: -1n + -12n = -13n 4 + -13n + 10x = 3 + 12n + -12n Combine like terms: 12n + -12n = 0 4 + -13n + 10x = 3 + 0 4 + -13n + 10x = 3 Add '-4' to each side of the equation. 4 + -13n + -4 + 10x = 3 + -4 Reorder the terms: 4 + -4 + -13n + 10x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -13n + 10x = 3 + -4 -13n + 10x = 3 + -4 Combine like terms: 3 + -4 = -1 -13n + 10x = -1 Add '-10x' to each side of the equation. -13n + 10x + -10x = -1 + -10x Combine like terms: 10x + -10x = 0 -13n + 0 = -1 + -10x -13n = -1 + -10x Divide each side by '-13'. n = 0.07692307692 + 0.7692307692x Simplifying n = 0.07692307692 + 0.7692307692x
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