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Simplifying -7n + -10 = -2(8n + -3) + 7n Reorder the terms: -10 + -7n = -2(8n + -3) + 7n Reorder the terms: -10 + -7n = -2(-3 + 8n) + 7n -10 + -7n = (-3 * -2 + 8n * -2) + 7n -10 + -7n = (6 + -16n) + 7n Combine like terms: -16n + 7n = -9n -10 + -7n = 6 + -9n Solving -10 + -7n = 6 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -10 + -7n + 9n = 6 + -9n + 9n Combine like terms: -7n + 9n = 2n -10 + 2n = 6 + -9n + 9n Combine like terms: -9n + 9n = 0 -10 + 2n = 6 + 0 -10 + 2n = 6 Add '10' to each side of the equation. -10 + 10 + 2n = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 6 + 10 2n = 6 + 10 Combine like terms: 6 + 10 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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