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Simplifying 5(n + -11) + -4n = 25 + -6(2n + 9) Reorder the terms: 5(-11 + n) + -4n = 25 + -6(2n + 9) (-11 * 5 + n * 5) + -4n = 25 + -6(2n + 9) (-55 + 5n) + -4n = 25 + -6(2n + 9) Combine like terms: 5n + -4n = 1n -55 + 1n = 25 + -6(2n + 9) Reorder the terms: -55 + 1n = 25 + -6(9 + 2n) -55 + 1n = 25 + (9 * -6 + 2n * -6) -55 + 1n = 25 + (-54 + -12n) Combine like terms: 25 + -54 = -29 -55 + 1n = -29 + -12n Solving -55 + 1n = -29 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -55 + 1n + 12n = -29 + -12n + 12n Combine like terms: 1n + 12n = 13n -55 + 13n = -29 + -12n + 12n Combine like terms: -12n + 12n = 0 -55 + 13n = -29 + 0 -55 + 13n = -29 Add '55' to each side of the equation. -55 + 55 + 13n = -29 + 55 Combine like terms: -55 + 55 = 0 0 + 13n = -29 + 55 13n = -29 + 55 Combine like terms: -29 + 55 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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