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Simplifying 3n + -5 = -8(1 + -7n) Reorder the terms: -5 + 3n = -8(1 + -7n) -5 + 3n = (1 * -8 + -7n * -8) -5 + 3n = (-8 + 56n) Solving -5 + 3n = -8 + 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. -5 + 3n + -56n = -8 + 56n + -56n Combine like terms: 3n + -56n = -53n -5 + -53n = -8 + 56n + -56n Combine like terms: 56n + -56n = 0 -5 + -53n = -8 + 0 -5 + -53n = -8 Add '5' to each side of the equation. -5 + 5 + -53n = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -53n = -8 + 5 -53n = -8 + 5 Combine like terms: -8 + 5 = -3 -53n = -3 Divide each side by '-53'. n = 0.05660377358 Simplifying n = 0.05660377358
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