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Simplifying 34 + 4n = -1n + -7(-4 + -1n) 34 + 4n = -1n + (-4 * -7 + -1n * -7) 34 + 4n = -1n + (28 + 7n) Reorder the terms: 34 + 4n = 28 + -1n + 7n Combine like terms: -1n + 7n = 6n 34 + 4n = 28 + 6n Solving 34 + 4n = 28 + 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. 34 + 4n + -6n = 28 + 6n + -6n Combine like terms: 4n + -6n = -2n 34 + -2n = 28 + 6n + -6n Combine like terms: 6n + -6n = 0 34 + -2n = 28 + 0 34 + -2n = 28 Add '-34' to each side of the equation. 34 + -34 + -2n = 28 + -34 Combine like terms: 34 + -34 = 0 0 + -2n = 28 + -34 -2n = 28 + -34 Combine like terms: 28 + -34 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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