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Simplifying -93 = -3 + -6(-7n + 8) Reorder the terms: -93 = -3 + -6(8 + -7n) -93 = -3 + (8 * -6 + -7n * -6) -93 = -3 + (-48 + 42n) Combine like terms: -3 + -48 = -51 -93 = -51 + 42n Solving -93 = -51 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -93 + -42n = -51 + 42n + -42n Combine like terms: 42n + -42n = 0 -93 + -42n = -51 + 0 -93 + -42n = -51 Add '93' to each side of the equation. -93 + 93 + -42n = -51 + 93 Combine like terms: -93 + 93 = 0 0 + -42n = -51 + 93 -42n = -51 + 93 Combine like terms: -51 + 93 = 42 -42n = 42 Divide each side by '-42'. n = -1 Simplifying n = -1
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