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