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Simplifying 4(n + -4) + -1 = 3(2n + -7) Reorder the terms: 4(-4 + n) + -1 = 3(2n + -7) (-4 * 4 + n * 4) + -1 = 3(2n + -7) (-16 + 4n) + -1 = 3(2n + -7) Reorder the terms: -16 + -1 + 4n = 3(2n + -7) Combine like terms: -16 + -1 = -17 -17 + 4n = 3(2n + -7) Reorder the terms: -17 + 4n = 3(-7 + 2n) -17 + 4n = (-7 * 3 + 2n * 3) -17 + 4n = (-21 + 6n) Solving -17 + 4n = -21 + 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. -17 + 4n + -6n = -21 + 6n + -6n Combine like terms: 4n + -6n = -2n -17 + -2n = -21 + 6n + -6n Combine like terms: 6n + -6n = 0 -17 + -2n = -21 + 0 -17 + -2n = -21 Add '17' to each side of the equation. -17 + 17 + -2n = -21 + 17 Combine like terms: -17 + 17 = 0 0 + -2n = -21 + 17 -2n = -21 + 17 Combine like terms: -21 + 17 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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