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Simplifying 6(-2n + 5) = -19 + -5n Reorder the terms: 6(5 + -2n) = -19 + -5n (5 * 6 + -2n * 6) = -19 + -5n (30 + -12n) = -19 + -5n Solving 30 + -12n = -19 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 30 + -12n + 5n = -19 + -5n + 5n Combine like terms: -12n + 5n = -7n 30 + -7n = -19 + -5n + 5n Combine like terms: -5n + 5n = 0 30 + -7n = -19 + 0 30 + -7n = -19 Add '-30' to each side of the equation. 30 + -30 + -7n = -19 + -30 Combine like terms: 30 + -30 = 0 0 + -7n = -19 + -30 -7n = -19 + -30 Combine like terms: -19 + -30 = -49 -7n = -49 Divide each side by '-7'. n = 7 Simplifying n = 7
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