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Simplifying 38 + -4n = 5(7n + -8) Reorder the terms: 38 + -4n = 5(-8 + 7n) 38 + -4n = (-8 * 5 + 7n * 5) 38 + -4n = (-40 + 35n) Solving 38 + -4n = -40 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 38 + -4n + -35n = -40 + 35n + -35n Combine like terms: -4n + -35n = -39n 38 + -39n = -40 + 35n + -35n Combine like terms: 35n + -35n = 0 38 + -39n = -40 + 0 38 + -39n = -40 Add '-38' to each side of the equation. 38 + -38 + -39n = -40 + -38 Combine like terms: 38 + -38 = 0 0 + -39n = -40 + -38 -39n = -40 + -38 Combine like terms: -40 + -38 = -78 -39n = -78 Divide each side by '-39'. n = 2 Simplifying n = 2
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