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Simplifying 4 + -2(-4n + -4) = 7(8n + -3) + -6 Reorder the terms: 4 + -2(-4 + -4n) = 7(8n + -3) + -6 4 + (-4 * -2 + -4n * -2) = 7(8n + -3) + -6 4 + (8 + 8n) = 7(8n + -3) + -6 Combine like terms: 4 + 8 = 12 12 + 8n = 7(8n + -3) + -6 Reorder the terms: 12 + 8n = 7(-3 + 8n) + -6 12 + 8n = (-3 * 7 + 8n * 7) + -6 12 + 8n = (-21 + 56n) + -6 Reorder the terms: 12 + 8n = -21 + -6 + 56n Combine like terms: -21 + -6 = -27 12 + 8n = -27 + 56n Solving 12 + 8n = -27 + 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. 12 + 8n + -56n = -27 + 56n + -56n Combine like terms: 8n + -56n = -48n 12 + -48n = -27 + 56n + -56n Combine like terms: 56n + -56n = 0 12 + -48n = -27 + 0 12 + -48n = -27 Add '-12' to each side of the equation. 12 + -12 + -48n = -27 + -12 Combine like terms: 12 + -12 = 0 0 + -48n = -27 + -12 -48n = -27 + -12 Combine like terms: -27 + -12 = -39 -48n = -39 Divide each side by '-48'. n = 0.8125 Simplifying n = 0.8125
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