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Simplifying -2(6 + 7n) + -7(1 + -1n) = -40 (6 * -2 + 7n * -2) + -7(1 + -1n) = -40 (-12 + -14n) + -7(1 + -1n) = -40 -12 + -14n + (1 * -7 + -1n * -7) = -40 -12 + -14n + (-7 + 7n) = -40 Reorder the terms: -12 + -7 + -14n + 7n = -40 Combine like terms: -12 + -7 = -19 -19 + -14n + 7n = -40 Combine like terms: -14n + 7n = -7n -19 + -7n = -40 Solving -19 + -7n = -40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -7n = -40 + 19 Combine like terms: -19 + 19 = 0 0 + -7n = -40 + 19 -7n = -40 + 19 Combine like terms: -40 + 19 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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