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Simplifying -3 + -6(8n + 2) = 5n + -15 Reorder the terms: -3 + -6(2 + 8n) = 5n + -15 -3 + (2 * -6 + 8n * -6) = 5n + -15 -3 + (-12 + -48n) = 5n + -15 Combine like terms: -3 + -12 = -15 -15 + -48n = 5n + -15 Reorder the terms: -15 + -48n = -15 + 5n Add '15' to each side of the equation. -15 + 15 + -48n = -15 + 15 + 5n Combine like terms: -15 + 15 = 0 0 + -48n = -15 + 15 + 5n -48n = -15 + 15 + 5n Combine like terms: -15 + 15 = 0 -48n = 0 + 5n -48n = 5n Solving -48n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -48n + -5n = 5n + -5n Combine like terms: -48n + -5n = -53n -53n = 5n + -5n Combine like terms: 5n + -5n = 0 -53n = 0 Divide each side by '-53'. n = 0 Simplifying n = 0
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