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Simplifying -4(7n + 5) + -3(-7 + -5n) = -64 Reorder the terms: -4(5 + 7n) + -3(-7 + -5n) = -64 (5 * -4 + 7n * -4) + -3(-7 + -5n) = -64 (-20 + -28n) + -3(-7 + -5n) = -64 -20 + -28n + (-7 * -3 + -5n * -3) = -64 -20 + -28n + (21 + 15n) = -64 Reorder the terms: -20 + 21 + -28n + 15n = -64 Combine like terms: -20 + 21 = 1 1 + -28n + 15n = -64 Combine like terms: -28n + 15n = -13n 1 + -13n = -64 Solving 1 + -13n = -64 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -13n = -64 + -1 Combine like terms: 1 + -1 = 0 0 + -13n = -64 + -1 -13n = -64 + -1 Combine like terms: -64 + -1 = -65 -13n = -65 Divide each side by '-13'. n = 5 Simplifying n = 5
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