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Simplifying 153 = -7(8n + -5) + 6 Reorder the terms: 153 = -7(-5 + 8n) + 6 153 = (-5 * -7 + 8n * -7) + 6 153 = (35 + -56n) + 6 Reorder the terms: 153 = 35 + 6 + -56n Combine like terms: 35 + 6 = 41 153 = 41 + -56n Solving 153 = 41 + -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. 153 + 56n = 41 + -56n + 56n Combine like terms: -56n + 56n = 0 153 + 56n = 41 + 0 153 + 56n = 41 Add '-153' to each side of the equation. 153 + -153 + 56n = 41 + -153 Combine like terms: 153 + -153 = 0 0 + 56n = 41 + -153 56n = 41 + -153 Combine like terms: 41 + -153 = -112 56n = -112 Divide each side by '56'. n = -2 Simplifying n = -2
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