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Simplifying -70 = -8(8 + 3n) + -5(-5n + 1) -70 = (8 * -8 + 3n * -8) + -5(-5n + 1) -70 = (-64 + -24n) + -5(-5n + 1) Reorder the terms: -70 = -64 + -24n + -5(1 + -5n) -70 = -64 + -24n + (1 * -5 + -5n * -5) -70 = -64 + -24n + (-5 + 25n) Reorder the terms: -70 = -64 + -5 + -24n + 25n Combine like terms: -64 + -5 = -69 -70 = -69 + -24n + 25n Combine like terms: -24n + 25n = 1n -70 = -69 + 1n Solving -70 = -69 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -70 + -1n = -69 + 1n + -1n Combine like terms: 1n + -1n = 0 -70 + -1n = -69 + 0 -70 + -1n = -69 Add '70' to each side of the equation. -70 + 70 + -1n = -69 + 70 Combine like terms: -70 + 70 = 0 0 + -1n = -69 + 70 -1n = -69 + 70 Combine like terms: -69 + 70 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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