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Simplifying -102 = -1n + -7(2 + 3n) -102 = -1n + (2 * -7 + 3n * -7) -102 = -1n + (-14 + -21n) Reorder the terms: -102 = -14 + -1n + -21n Combine like terms: -1n + -21n = -22n -102 = -14 + -22n Solving -102 = -14 + -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. -102 + 22n = -14 + -22n + 22n Combine like terms: -22n + 22n = 0 -102 + 22n = -14 + 0 -102 + 22n = -14 Add '102' to each side of the equation. -102 + 102 + 22n = -14 + 102 Combine like terms: -102 + 102 = 0 0 + 22n = -14 + 102 22n = -14 + 102 Combine like terms: -14 + 102 = 88 22n = 88 Divide each side by '22'. n = 4 Simplifying n = 4
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