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Simplifying 7(5n + -4) + -10(3n + -2) = 7 Reorder the terms: 7(-4 + 5n) + -10(3n + -2) = 7 (-4 * 7 + 5n * 7) + -10(3n + -2) = 7 (-28 + 35n) + -10(3n + -2) = 7 Reorder the terms: -28 + 35n + -10(-2 + 3n) = 7 -28 + 35n + (-2 * -10 + 3n * -10) = 7 -28 + 35n + (20 + -30n) = 7 Reorder the terms: -28 + 20 + 35n + -30n = 7 Combine like terms: -28 + 20 = -8 -8 + 35n + -30n = 7 Combine like terms: 35n + -30n = 5n -8 + 5n = 7 Solving -8 + 5n = 7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5n = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = 7 + 8 5n = 7 + 8 Combine like terms: 7 + 8 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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