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Simplifying 5(n + -2) + -3(2n + 1) = 4(1 + n) Reorder the terms: 5(-2 + n) + -3(2n + 1) = 4(1 + n) (-2 * 5 + n * 5) + -3(2n + 1) = 4(1 + n) (-10 + 5n) + -3(2n + 1) = 4(1 + n) Reorder the terms: -10 + 5n + -3(1 + 2n) = 4(1 + n) -10 + 5n + (1 * -3 + 2n * -3) = 4(1 + n) -10 + 5n + (-3 + -6n) = 4(1 + n) Reorder the terms: -10 + -3 + 5n + -6n = 4(1 + n) Combine like terms: -10 + -3 = -13 -13 + 5n + -6n = 4(1 + n) Combine like terms: 5n + -6n = -1n -13 + -1n = 4(1 + n) -13 + -1n = (1 * 4 + n * 4) -13 + -1n = (4 + 4n) Solving -13 + -1n = 4 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -13 + -1n + -4n = 4 + 4n + -4n Combine like terms: -1n + -4n = -5n -13 + -5n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -13 + -5n = 4 + 0 -13 + -5n = 4 Add '13' to each side of the equation. -13 + 13 + -5n = 4 + 13 Combine like terms: -13 + 13 = 0 0 + -5n = 4 + 13 -5n = 4 + 13 Combine like terms: 4 + 13 = 17 -5n = 17 Divide each side by '-5'. n = -3.4 Simplifying n = -3.4
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