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Simplifying 4(n + -3) + 14 = 16n + -1(4 + n) Reorder the terms: 4(-3 + n) + 14 = 16n + -1(4 + n) (-3 * 4 + n * 4) + 14 = 16n + -1(4 + n) (-12 + 4n) + 14 = 16n + -1(4 + n) Reorder the terms: -12 + 14 + 4n = 16n + -1(4 + n) Combine like terms: -12 + 14 = 2 2 + 4n = 16n + -1(4 + n) 2 + 4n = 16n + (4 * -1 + n * -1) 2 + 4n = 16n + (-4 + -1n) Reorder the terms: 2 + 4n = -4 + 16n + -1n Combine like terms: 16n + -1n = 15n 2 + 4n = -4 + 15n Solving 2 + 4n = -4 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 2 + 4n + -15n = -4 + 15n + -15n Combine like terms: 4n + -15n = -11n 2 + -11n = -4 + 15n + -15n Combine like terms: 15n + -15n = 0 2 + -11n = -4 + 0 2 + -11n = -4 Add '-2' to each side of the equation. 2 + -2 + -11n = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -11n = -4 + -2 -11n = -4 + -2 Combine like terms: -4 + -2 = -6 -11n = -6 Divide each side by '-11'. n = 0.5454545455 Simplifying n = 0.5454545455
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