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Simplifying 6(2n + -2) = (7n + 3) + 1 Reorder the terms: 6(-2 + 2n) = (7n + 3) + 1 (-2 * 6 + 2n * 6) = (7n + 3) + 1 (-12 + 12n) = (7n + 3) + 1 Reorder the terms: -12 + 12n = (3 + 7n) + 1 Remove parenthesis around (3 + 7n) -12 + 12n = 3 + 7n + 1 Reorder the terms: -12 + 12n = 3 + 1 + 7n Combine like terms: 3 + 1 = 4 -12 + 12n = 4 + 7n Solving -12 + 12n = 4 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -12 + 12n + -7n = 4 + 7n + -7n Combine like terms: 12n + -7n = 5n -12 + 5n = 4 + 7n + -7n Combine like terms: 7n + -7n = 0 -12 + 5n = 4 + 0 -12 + 5n = 4 Add '12' to each side of the equation. -12 + 12 + 5n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 5n = 4 + 12 5n = 4 + 12 Combine like terms: 4 + 12 = 16 5n = 16 Divide each side by '5'. n = 3.2 Simplifying n = 3.2
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