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Simplifying 8(2n + -5) = 2(6n + -2) Reorder the terms: 8(-5 + 2n) = 2(6n + -2) (-5 * 8 + 2n * 8) = 2(6n + -2) (-40 + 16n) = 2(6n + -2) Reorder the terms: -40 + 16n = 2(-2 + 6n) -40 + 16n = (-2 * 2 + 6n * 2) -40 + 16n = (-4 + 12n) Solving -40 + 16n = -4 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -40 + 16n + -12n = -4 + 12n + -12n Combine like terms: 16n + -12n = 4n -40 + 4n = -4 + 12n + -12n Combine like terms: 12n + -12n = 0 -40 + 4n = -4 + 0 -40 + 4n = -4 Add '40' to each side of the equation. -40 + 40 + 4n = -4 + 40 Combine like terms: -40 + 40 = 0 0 + 4n = -4 + 40 4n = -4 + 40 Combine like terms: -4 + 40 = 36 4n = 36 Divide each side by '4'. n = 9 Simplifying n = 9
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