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Simplifying -10 + 7n = 3(-7n + 6) Reorder the terms: -10 + 7n = 3(6 + -7n) -10 + 7n = (6 * 3 + -7n * 3) -10 + 7n = (18 + -21n) Solving -10 + 7n = 18 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -10 + 7n + 21n = 18 + -21n + 21n Combine like terms: 7n + 21n = 28n -10 + 28n = 18 + -21n + 21n Combine like terms: -21n + 21n = 0 -10 + 28n = 18 + 0 -10 + 28n = 18 Add '10' to each side of the equation. -10 + 10 + 28n = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 28n = 18 + 10 28n = 18 + 10 Combine like terms: 18 + 10 = 28 28n = 28 Divide each side by '28'. n = 1 Simplifying n = 1
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