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Simplifying -10[7 + -4n] = 6[n + 11] [7 * -10 + -4n * -10] = 6[n + 11] [-70 + 40n] = 6[n + 11] Reorder the terms: -70 + 40n = 6[11 + n] -70 + 40n = [11 * 6 + n * 6] -70 + 40n = [66 + 6n] Solving -70 + 40n = 66 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -70 + 40n + -6n = 66 + 6n + -6n Combine like terms: 40n + -6n = 34n -70 + 34n = 66 + 6n + -6n Combine like terms: 6n + -6n = 0 -70 + 34n = 66 + 0 -70 + 34n = 66 Add '70' to each side of the equation. -70 + 70 + 34n = 66 + 70 Combine like terms: -70 + 70 = 0 0 + 34n = 66 + 70 34n = 66 + 70 Combine like terms: 66 + 70 = 136 34n = 136 Divide each side by '34'. n = 4 Simplifying n = 4
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