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Simplifying 7(n + -3) = -7(-6n + 3) Reorder the terms: 7(-3 + n) = -7(-6n + 3) (-3 * 7 + n * 7) = -7(-6n + 3) (-21 + 7n) = -7(-6n + 3) Reorder the terms: -21 + 7n = -7(3 + -6n) -21 + 7n = (3 * -7 + -6n * -7) -21 + 7n = (-21 + 42n) Add '21' to each side of the equation. -21 + 21 + 7n = -21 + 21 + 42n Combine like terms: -21 + 21 = 0 0 + 7n = -21 + 21 + 42n 7n = -21 + 21 + 42n Combine like terms: -21 + 21 = 0 7n = 0 + 42n 7n = 42n Solving 7n = 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. 7n + -42n = 42n + -42n Combine like terms: 7n + -42n = -35n -35n = 42n + -42n Combine like terms: 42n + -42n = 0 -35n = 0 Divide each side by '-35'. n = 0 Simplifying n = 0
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