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Simplifying 5n + -5 = 6(2n + 5) Reorder the terms: -5 + 5n = 6(2n + 5) Reorder the terms: -5 + 5n = 6(5 + 2n) -5 + 5n = (5 * 6 + 2n * 6) -5 + 5n = (30 + 12n) Solving -5 + 5n = 30 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -5 + 5n + -12n = 30 + 12n + -12n Combine like terms: 5n + -12n = -7n -5 + -7n = 30 + 12n + -12n Combine like terms: 12n + -12n = 0 -5 + -7n = 30 + 0 -5 + -7n = 30 Add '5' to each side of the equation. -5 + 5 + -7n = 30 + 5 Combine like terms: -5 + 5 = 0 0 + -7n = 30 + 5 -7n = 30 + 5 Combine like terms: 30 + 5 = 35 -7n = 35 Divide each side by '-7'. n = -5 Simplifying n = -5
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