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Simplifying -7(n + 3) + 2(1 + 5n) = -4 Reorder the terms: -7(3 + n) + 2(1 + 5n) = -4 (3 * -7 + n * -7) + 2(1 + 5n) = -4 (-21 + -7n) + 2(1 + 5n) = -4 -21 + -7n + (1 * 2 + 5n * 2) = -4 -21 + -7n + (2 + 10n) = -4 Reorder the terms: -21 + 2 + -7n + 10n = -4 Combine like terms: -21 + 2 = -19 -19 + -7n + 10n = -4 Combine like terms: -7n + 10n = 3n -19 + 3n = -4 Solving -19 + 3n = -4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3n = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 3n = -4 + 19 3n = -4 + 19 Combine like terms: -4 + 19 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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