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Simplifying 7(-1 + -5n) = 7(-6n + 3) (-1 * 7 + -5n * 7) = 7(-6n + 3) (-7 + -35n) = 7(-6n + 3) Reorder the terms: -7 + -35n = 7(3 + -6n) -7 + -35n = (3 * 7 + -6n * 7) -7 + -35n = (21 + -42n) Solving -7 + -35n = 21 + -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. -7 + -35n + 42n = 21 + -42n + 42n Combine like terms: -35n + 42n = 7n -7 + 7n = 21 + -42n + 42n Combine like terms: -42n + 42n = 0 -7 + 7n = 21 + 0 -7 + 7n = 21 Add '7' to each side of the equation. -7 + 7 + 7n = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 7n = 21 + 7 7n = 21 + 7 Combine like terms: 21 + 7 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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