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Simplifying -8 + 4(-2n + -7) = -2(-8n + 2) + 5 Reorder the terms: -8 + 4(-7 + -2n) = -2(-8n + 2) + 5 -8 + (-7 * 4 + -2n * 4) = -2(-8n + 2) + 5 -8 + (-28 + -8n) = -2(-8n + 2) + 5 Combine like terms: -8 + -28 = -36 -36 + -8n = -2(-8n + 2) + 5 Reorder the terms: -36 + -8n = -2(2 + -8n) + 5 -36 + -8n = (2 * -2 + -8n * -2) + 5 -36 + -8n = (-4 + 16n) + 5 Reorder the terms: -36 + -8n = -4 + 5 + 16n Combine like terms: -4 + 5 = 1 -36 + -8n = 1 + 16n Solving -36 + -8n = 1 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -36 + -8n + -16n = 1 + 16n + -16n Combine like terms: -8n + -16n = -24n -36 + -24n = 1 + 16n + -16n Combine like terms: 16n + -16n = 0 -36 + -24n = 1 + 0 -36 + -24n = 1 Add '36' to each side of the equation. -36 + 36 + -24n = 1 + 36 Combine like terms: -36 + 36 = 0 0 + -24n = 1 + 36 -24n = 1 + 36 Combine like terms: 1 + 36 = 37 -24n = 37 Divide each side by '-24'. n = -1.541666667 Simplifying n = -1.541666667
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