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Simplifying 4n + -28 = 6(7n + -5) + 2 Reorder the terms: -28 + 4n = 6(7n + -5) + 2 Reorder the terms: -28 + 4n = 6(-5 + 7n) + 2 -28 + 4n = (-5 * 6 + 7n * 6) + 2 -28 + 4n = (-30 + 42n) + 2 Reorder the terms: -28 + 4n = -30 + 2 + 42n Combine like terms: -30 + 2 = -28 -28 + 4n = -28 + 42n Add '28' to each side of the equation. -28 + 28 + 4n = -28 + 28 + 42n Combine like terms: -28 + 28 = 0 0 + 4n = -28 + 28 + 42n 4n = -28 + 28 + 42n Combine like terms: -28 + 28 = 0 4n = 0 + 42n 4n = 42n Solving 4n = 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 4n + -42n = 42n + -42n Combine like terms: 4n + -42n = -38n -38n = 42n + -42n Combine like terms: 42n + -42n = 0 -38n = 0 Divide each side by '-38'. n = 0 Simplifying n = 0
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