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Simplifying 4(7n + -2) = 36 + -3(3n + 4) Reorder the terms: 4(-2 + 7n) = 36 + -3(3n + 4) (-2 * 4 + 7n * 4) = 36 + -3(3n + 4) (-8 + 28n) = 36 + -3(3n + 4) Reorder the terms: -8 + 28n = 36 + -3(4 + 3n) -8 + 28n = 36 + (4 * -3 + 3n * -3) -8 + 28n = 36 + (-12 + -9n) Combine like terms: 36 + -12 = 24 -8 + 28n = 24 + -9n Solving -8 + 28n = 24 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -8 + 28n + 9n = 24 + -9n + 9n Combine like terms: 28n + 9n = 37n -8 + 37n = 24 + -9n + 9n Combine like terms: -9n + 9n = 0 -8 + 37n = 24 + 0 -8 + 37n = 24 Add '8' to each side of the equation. -8 + 8 + 37n = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 37n = 24 + 8 37n = 24 + 8 Combine like terms: 24 + 8 = 32 37n = 32 Divide each side by '37'. n = 0.8648648649 Simplifying n = 0.8648648649
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