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Simplifying -5 + -8(1 + 6n) = 7n + -13 -5 + (1 * -8 + 6n * -8) = 7n + -13 -5 + (-8 + -48n) = 7n + -13 Combine like terms: -5 + -8 = -13 -13 + -48n = 7n + -13 Reorder the terms: -13 + -48n = -13 + 7n Add '13' to each side of the equation. -13 + 13 + -48n = -13 + 13 + 7n Combine like terms: -13 + 13 = 0 0 + -48n = -13 + 13 + 7n -48n = -13 + 13 + 7n Combine like terms: -13 + 13 = 0 -48n = 0 + 7n -48n = 7n Solving -48n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -48n + -7n = 7n + -7n Combine like terms: -48n + -7n = -55n -55n = 7n + -7n Combine like terms: 7n + -7n = 0 -55n = 0 Divide each side by '-55'. n = 0 Simplifying n = 0
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