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Simplifying -7(3n + -8) + -8(3n + -7) = -23 Reorder the terms: -7(-8 + 3n) + -8(3n + -7) = -23 (-8 * -7 + 3n * -7) + -8(3n + -7) = -23 (56 + -21n) + -8(3n + -7) = -23 Reorder the terms: 56 + -21n + -8(-7 + 3n) = -23 56 + -21n + (-7 * -8 + 3n * -8) = -23 56 + -21n + (56 + -24n) = -23 Reorder the terms: 56 + 56 + -21n + -24n = -23 Combine like terms: 56 + 56 = 112 112 + -21n + -24n = -23 Combine like terms: -21n + -24n = -45n 112 + -45n = -23 Solving 112 + -45n = -23 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + -45n = -23 + -112 Combine like terms: 112 + -112 = 0 0 + -45n = -23 + -112 -45n = -23 + -112 Combine like terms: -23 + -112 = -135 -45n = -135 Divide each side by '-45'. n = 3 Simplifying n = 3
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