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Simplifying -3 + -5n = 5 + -8(-7n + 1) Reorder the terms: -3 + -5n = 5 + -8(1 + -7n) -3 + -5n = 5 + (1 * -8 + -7n * -8) -3 + -5n = 5 + (-8 + 56n) Combine like terms: 5 + -8 = -3 -3 + -5n = -3 + 56n Add '3' to each side of the equation. -3 + 3 + -5n = -3 + 3 + 56n Combine like terms: -3 + 3 = 0 0 + -5n = -3 + 3 + 56n -5n = -3 + 3 + 56n Combine like terms: -3 + 3 = 0 -5n = 0 + 56n -5n = 56n Solving -5n = 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -5n + -56n = 56n + -56n Combine like terms: -5n + -56n = -61n -61n = 56n + -56n Combine like terms: 56n + -56n = 0 -61n = 0 Divide each side by '-61'. n = 0 Simplifying n = 0
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