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Simplifying 5n + -4(3n + -4) = -6(n + -1) + 3 Reorder the terms: 5n + -4(-4 + 3n) = -6(n + -1) + 3 5n + (-4 * -4 + 3n * -4) = -6(n + -1) + 3 5n + (16 + -12n) = -6(n + -1) + 3 Reorder the terms: 16 + 5n + -12n = -6(n + -1) + 3 Combine like terms: 5n + -12n = -7n 16 + -7n = -6(n + -1) + 3 Reorder the terms: 16 + -7n = -6(-1 + n) + 3 16 + -7n = (-1 * -6 + n * -6) + 3 16 + -7n = (6 + -6n) + 3 Reorder the terms: 16 + -7n = 6 + 3 + -6n Combine like terms: 6 + 3 = 9 16 + -7n = 9 + -6n Solving 16 + -7n = 9 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 16 + -7n + 6n = 9 + -6n + 6n Combine like terms: -7n + 6n = -1n 16 + -1n = 9 + -6n + 6n Combine like terms: -6n + 6n = 0 16 + -1n = 9 + 0 16 + -1n = 9 Add '-16' to each side of the equation. 16 + -16 + -1n = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = 9 + -16 -1n = 9 + -16 Combine like terms: 9 + -16 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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