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Simplifying 3(2n + -5) + -7 = 4(n + -9) Reorder the terms: 3(-5 + 2n) + -7 = 4(n + -9) (-5 * 3 + 2n * 3) + -7 = 4(n + -9) (-15 + 6n) + -7 = 4(n + -9) Reorder the terms: -15 + -7 + 6n = 4(n + -9) Combine like terms: -15 + -7 = -22 -22 + 6n = 4(n + -9) Reorder the terms: -22 + 6n = 4(-9 + n) -22 + 6n = (-9 * 4 + n * 4) -22 + 6n = (-36 + 4n) Solving -22 + 6n = -36 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -22 + 6n + -4n = -36 + 4n + -4n Combine like terms: 6n + -4n = 2n -22 + 2n = -36 + 4n + -4n Combine like terms: 4n + -4n = 0 -22 + 2n = -36 + 0 -22 + 2n = -36 Add '22' to each side of the equation. -22 + 22 + 2n = -36 + 22 Combine like terms: -22 + 22 = 0 0 + 2n = -36 + 22 2n = -36 + 22 Combine like terms: -36 + 22 = -14 2n = -14 Divide each side by '2'. n = -7 Simplifying n = -7
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