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Simplifying 7 + 3(2n + -12) = 1 Reorder the terms: 7 + 3(-12 + 2n) = 1 7 + (-12 * 3 + 2n * 3) = 1 7 + (-36 + 6n) = 1 Combine like terms: 7 + -36 = -29 -29 + 6n = 1 Solving -29 + 6n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 6n = 1 + 29 Combine like terms: -29 + 29 = 0 0 + 6n = 1 + 29 6n = 1 + 29 Combine like terms: 1 + 29 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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