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Simplifying 93 = 6(7n + -8) + 9(n + -7) Reorder the terms: 93 = 6(-8 + 7n) + 9(n + -7) 93 = (-8 * 6 + 7n * 6) + 9(n + -7) 93 = (-48 + 42n) + 9(n + -7) Reorder the terms: 93 = -48 + 42n + 9(-7 + n) 93 = -48 + 42n + (-7 * 9 + n * 9) 93 = -48 + 42n + (-63 + 9n) Reorder the terms: 93 = -48 + -63 + 42n + 9n Combine like terms: -48 + -63 = -111 93 = -111 + 42n + 9n Combine like terms: 42n + 9n = 51n 93 = -111 + 51n Solving 93 = -111 + 51n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-51n' to each side of the equation. 93 + -51n = -111 + 51n + -51n Combine like terms: 51n + -51n = 0 93 + -51n = -111 + 0 93 + -51n = -111 Add '-93' to each side of the equation. 93 + -93 + -51n = -111 + -93 Combine like terms: 93 + -93 = 0 0 + -51n = -111 + -93 -51n = -111 + -93 Combine like terms: -111 + -93 = -204 -51n = -204 Divide each side by '-51'. n = 4 Simplifying n = 4
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