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Simplifying 7n + 20 = 6n + -6(-1x + 5) Reorder the terms: 20 + 7n = 6n + -6(-1x + 5) Reorder the terms: 20 + 7n = 6n + -6(5 + -1x) 20 + 7n = 6n + (5 * -6 + -1x * -6) 20 + 7n = 6n + (-30 + 6x) Reorder the terms: 20 + 7n = -30 + 6n + 6x Solving 20 + 7n = -30 + 6n + 6x 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. 20 + 7n + -6n = -30 + 6n + -6n + 6x Combine like terms: 7n + -6n = 1n 20 + 1n = -30 + 6n + -6n + 6x Combine like terms: 6n + -6n = 0 20 + 1n = -30 + 0 + 6x 20 + 1n = -30 + 6x Add '-20' to each side of the equation. 20 + -20 + 1n = -30 + -20 + 6x Combine like terms: 20 + -20 = 0 0 + 1n = -30 + -20 + 6x 1n = -30 + -20 + 6x Combine like terms: -30 + -20 = -50 1n = -50 + 6x Divide each side by '1'. n = -50 + 6x Simplifying n = -50 + 6x
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