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Simplifying 7n + -38 = 8(n + -5) Reorder the terms: -38 + 7n = 8(n + -5) Reorder the terms: -38 + 7n = 8(-5 + n) -38 + 7n = (-5 * 8 + n * 8) -38 + 7n = (-40 + 8n) Solving -38 + 7n = -40 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -38 + 7n + -8n = -40 + 8n + -8n Combine like terms: 7n + -8n = -1n -38 + -1n = -40 + 8n + -8n Combine like terms: 8n + -8n = 0 -38 + -1n = -40 + 0 -38 + -1n = -40 Add '38' to each side of the equation. -38 + 38 + -1n = -40 + 38 Combine like terms: -38 + 38 = 0 0 + -1n = -40 + 38 -1n = -40 + 38 Combine like terms: -40 + 38 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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