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Simplifying -23 + 8n = -7(n + 7) + -4 Reorder the terms: -23 + 8n = -7(7 + n) + -4 -23 + 8n = (7 * -7 + n * -7) + -4 -23 + 8n = (-49 + -7n) + -4 Reorder the terms: -23 + 8n = -49 + -4 + -7n Combine like terms: -49 + -4 = -53 -23 + 8n = -53 + -7n Solving -23 + 8n = -53 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -23 + 8n + 7n = -53 + -7n + 7n Combine like terms: 8n + 7n = 15n -23 + 15n = -53 + -7n + 7n Combine like terms: -7n + 7n = 0 -23 + 15n = -53 + 0 -23 + 15n = -53 Add '23' to each side of the equation. -23 + 23 + 15n = -53 + 23 Combine like terms: -23 + 23 = 0 0 + 15n = -53 + 23 15n = -53 + 23 Combine like terms: -53 + 23 = -30 15n = -30 Divide each side by '15'. n = -2 Simplifying n = -2
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