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Simplifying -6(6n + -7) + n = 10 + -3n Reorder the terms: -6(-7 + 6n) + n = 10 + -3n (-7 * -6 + 6n * -6) + n = 10 + -3n (42 + -36n) + n = 10 + -3n Combine like terms: -36n + n = -35n 42 + -35n = 10 + -3n Solving 42 + -35n = 10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 42 + -35n + 3n = 10 + -3n + 3n Combine like terms: -35n + 3n = -32n 42 + -32n = 10 + -3n + 3n Combine like terms: -3n + 3n = 0 42 + -32n = 10 + 0 42 + -32n = 10 Add '-42' to each side of the equation. 42 + -42 + -32n = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -32n = 10 + -42 -32n = 10 + -42 Combine like terms: 10 + -42 = -32 -32n = -32 Divide each side by '-32'. n = 1 Simplifying n = 1
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