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Simplifying -2n + -9 = -7n + -4(-1 + 2n) Reorder the terms: -9 + -2n = -7n + -4(-1 + 2n) -9 + -2n = -7n + (-1 * -4 + 2n * -4) -9 + -2n = -7n + (4 + -8n) Reorder the terms: -9 + -2n = 4 + -7n + -8n Combine like terms: -7n + -8n = -15n -9 + -2n = 4 + -15n Solving -9 + -2n = 4 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -9 + -2n + 15n = 4 + -15n + 15n Combine like terms: -2n + 15n = 13n -9 + 13n = 4 + -15n + 15n Combine like terms: -15n + 15n = 0 -9 + 13n = 4 + 0 -9 + 13n = 4 Add '9' to each side of the equation. -9 + 9 + 13n = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 13n = 4 + 9 13n = 4 + 9 Combine like terms: 4 + 9 = 13 13n = 13 Divide each side by '13'. n = 1 Simplifying n = 1
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