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Simplifying 2 + -5(n + 4) = 2n + -4 Reorder the terms: 2 + -5(4 + n) = 2n + -4 2 + (4 * -5 + n * -5) = 2n + -4 2 + (-20 + -5n) = 2n + -4 Combine like terms: 2 + -20 = -18 -18 + -5n = 2n + -4 Reorder the terms: -18 + -5n = -4 + 2n Solving -18 + -5n = -4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -18 + -5n + -2n = -4 + 2n + -2n Combine like terms: -5n + -2n = -7n -18 + -7n = -4 + 2n + -2n Combine like terms: 2n + -2n = 0 -18 + -7n = -4 + 0 -18 + -7n = -4 Add '18' to each side of the equation. -18 + 18 + -7n = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -7n = -4 + 18 -7n = -4 + 18 Combine like terms: -4 + 18 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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