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Simplifying 5 + 8(-1n + -5) = -3(-7n + 6) + 4 Reorder the terms: 5 + 8(-5 + -1n) = -3(-7n + 6) + 4 5 + (-5 * 8 + -1n * 8) = -3(-7n + 6) + 4 5 + (-40 + -8n) = -3(-7n + 6) + 4 Combine like terms: 5 + -40 = -35 -35 + -8n = -3(-7n + 6) + 4 Reorder the terms: -35 + -8n = -3(6 + -7n) + 4 -35 + -8n = (6 * -3 + -7n * -3) + 4 -35 + -8n = (-18 + 21n) + 4 Reorder the terms: -35 + -8n = -18 + 4 + 21n Combine like terms: -18 + 4 = -14 -35 + -8n = -14 + 21n Solving -35 + -8n = -14 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -35 + -8n + -21n = -14 + 21n + -21n Combine like terms: -8n + -21n = -29n -35 + -29n = -14 + 21n + -21n Combine like terms: 21n + -21n = 0 -35 + -29n = -14 + 0 -35 + -29n = -14 Add '35' to each side of the equation. -35 + 35 + -29n = -14 + 35 Combine like terms: -35 + 35 = 0 0 + -29n = -14 + 35 -29n = -14 + 35 Combine like terms: -14 + 35 = 21 -29n = 21 Divide each side by '-29'. n = -0.724137931 Simplifying n = -0.724137931
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