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Simplifying 4(n + -3) + -5(n + 8) = 2n + -16 Reorder the terms: 4(-3 + n) + -5(n + 8) = 2n + -16 (-3 * 4 + n * 4) + -5(n + 8) = 2n + -16 (-12 + 4n) + -5(n + 8) = 2n + -16 Reorder the terms: -12 + 4n + -5(8 + n) = 2n + -16 -12 + 4n + (8 * -5 + n * -5) = 2n + -16 -12 + 4n + (-40 + -5n) = 2n + -16 Reorder the terms: -12 + -40 + 4n + -5n = 2n + -16 Combine like terms: -12 + -40 = -52 -52 + 4n + -5n = 2n + -16 Combine like terms: 4n + -5n = -1n -52 + -1n = 2n + -16 Reorder the terms: -52 + -1n = -16 + 2n Solving -52 + -1n = -16 + 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. -52 + -1n + -2n = -16 + 2n + -2n Combine like terms: -1n + -2n = -3n -52 + -3n = -16 + 2n + -2n Combine like terms: 2n + -2n = 0 -52 + -3n = -16 + 0 -52 + -3n = -16 Add '52' to each side of the equation. -52 + 52 + -3n = -16 + 52 Combine like terms: -52 + 52 = 0 0 + -3n = -16 + 52 -3n = -16 + 52 Combine like terms: -16 + 52 = 36 -3n = 36 Divide each side by '-3'. n = -12 Simplifying n = -12
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