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Simplifying -24 + -4n = -7(8n + -4) Reorder the terms: -24 + -4n = -7(-4 + 8n) -24 + -4n = (-4 * -7 + 8n * -7) -24 + -4n = (28 + -56n) Solving -24 + -4n = 28 + -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. -24 + -4n + 56n = 28 + -56n + 56n Combine like terms: -4n + 56n = 52n -24 + 52n = 28 + -56n + 56n Combine like terms: -56n + 56n = 0 -24 + 52n = 28 + 0 -24 + 52n = 28 Add '24' to each side of the equation. -24 + 24 + 52n = 28 + 24 Combine like terms: -24 + 24 = 0 0 + 52n = 28 + 24 52n = 28 + 24 Combine like terms: 28 + 24 = 52 52n = 52 Divide each side by '52'. n = 1 Simplifying n = 1
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