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Simplifying -178 = -3 + -7(1 + -6n) -178 = -3 + (1 * -7 + -6n * -7) -178 = -3 + (-7 + 42n) Combine like terms: -3 + -7 = -10 -178 = -10 + 42n Solving -178 = -10 + 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. -178 + -42n = -10 + 42n + -42n Combine like terms: 42n + -42n = 0 -178 + -42n = -10 + 0 -178 + -42n = -10 Add '178' to each side of the equation. -178 + 178 + -42n = -10 + 178 Combine like terms: -178 + 178 = 0 0 + -42n = -10 + 178 -42n = -10 + 178 Combine like terms: -10 + 178 = 168 -42n = 168 Divide each side by '-42'. n = -4 Simplifying n = -4
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