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Simplifying 3 + -3n = 6(7n + -7) Reorder the terms: 3 + -3n = 6(-7 + 7n) 3 + -3n = (-7 * 6 + 7n * 6) 3 + -3n = (-42 + 42n) Solving 3 + -3n = -42 + 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. 3 + -3n + -42n = -42 + 42n + -42n Combine like terms: -3n + -42n = -45n 3 + -45n = -42 + 42n + -42n Combine like terms: 42n + -42n = 0 3 + -45n = -42 + 0 3 + -45n = -42 Add '-3' to each side of the equation. 3 + -3 + -45n = -42 + -3 Combine like terms: 3 + -3 = 0 0 + -45n = -42 + -3 -45n = -42 + -3 Combine like terms: -42 + -3 = -45 -45n = -45 Divide each side by '-45'. n = 1 Simplifying n = 1
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