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Simplifying 4 + -7(1 + -3n) = -1n + 19 4 + (1 * -7 + -3n * -7) = -1n + 19 4 + (-7 + 21n) = -1n + 19 Combine like terms: 4 + -7 = -3 -3 + 21n = -1n + 19 Reorder the terms: -3 + 21n = 19 + -1n Solving -3 + 21n = 19 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -3 + 21n + n = 19 + -1n + n Combine like terms: 21n + n = 22n -3 + 22n = 19 + -1n + n Combine like terms: -1n + n = 0 -3 + 22n = 19 + 0 -3 + 22n = 19 Add '3' to each side of the equation. -3 + 3 + 22n = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 22n = 19 + 3 22n = 19 + 3 Combine like terms: 19 + 3 = 22 22n = 22 Divide each side by '22'. n = 1 Simplifying n = 1
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