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Simplifying 5n + 10n + -7 = 20n + 2n + 1 Reorder the terms: -7 + 5n + 10n = 20n + 2n + 1 Combine like terms: 5n + 10n = 15n -7 + 15n = 20n + 2n + 1 Reorder the terms: -7 + 15n = 1 + 20n + 2n Combine like terms: 20n + 2n = 22n -7 + 15n = 1 + 22n Solving -7 + 15n = 1 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. -7 + 15n + -22n = 1 + 22n + -22n Combine like terms: 15n + -22n = -7n -7 + -7n = 1 + 22n + -22n Combine like terms: 22n + -22n = 0 -7 + -7n = 1 + 0 -7 + -7n = 1 Add '7' to each side of the equation. -7 + 7 + -7n = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -7n = 1 + 7 -7n = 1 + 7 Combine like terms: 1 + 7 = 8 -7n = 8 Divide each side by '-7'. n = -1.142857143 Simplifying n = -1.142857143
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