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Simplifying 2n + 7 = 7(n + -9) + -3n Reorder the terms: 7 + 2n = 7(n + -9) + -3n Reorder the terms: 7 + 2n = 7(-9 + n) + -3n 7 + 2n = (-9 * 7 + n * 7) + -3n 7 + 2n = (-63 + 7n) + -3n Combine like terms: 7n + -3n = 4n 7 + 2n = -63 + 4n Solving 7 + 2n = -63 + 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. 7 + 2n + -4n = -63 + 4n + -4n Combine like terms: 2n + -4n = -2n 7 + -2n = -63 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + -2n = -63 + 0 7 + -2n = -63 Add '-7' to each side of the equation. 7 + -7 + -2n = -63 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = -63 + -7 -2n = -63 + -7 Combine like terms: -63 + -7 = -70 -2n = -70 Divide each side by '-2'. n = 35 Simplifying n = 35
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