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Simplifying 2n + 7 = 7(n + -9) + -4n Reorder the terms: 7 + 2n = 7(n + -9) + -4n Reorder the terms: 7 + 2n = 7(-9 + n) + -4n 7 + 2n = (-9 * 7 + n * 7) + -4n 7 + 2n = (-63 + 7n) + -4n Combine like terms: 7n + -4n = 3n 7 + 2n = -63 + 3n Solving 7 + 2n = -63 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + 2n + -3n = -63 + 3n + -3n Combine like terms: 2n + -3n = -1n 7 + -1n = -63 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -1n = -63 + 0 7 + -1n = -63 Add '-7' to each side of the equation. 7 + -7 + -1n = -63 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = -63 + -7 -1n = -63 + -7 Combine like terms: -63 + -7 = -70 -1n = -70 Divide each side by '-1'. n = 70 Simplifying n = 70
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