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Simplifying 8(5n + -12) + 8n = 8(12n + -6) Reorder the terms: 8(-12 + 5n) + 8n = 8(12n + -6) (-12 * 8 + 5n * 8) + 8n = 8(12n + -6) (-96 + 40n) + 8n = 8(12n + -6) Combine like terms: 40n + 8n = 48n -96 + 48n = 8(12n + -6) Reorder the terms: -96 + 48n = 8(-6 + 12n) -96 + 48n = (-6 * 8 + 12n * 8) -96 + 48n = (-48 + 96n) Solving -96 + 48n = -48 + 96n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-96n' to each side of the equation. -96 + 48n + -96n = -48 + 96n + -96n Combine like terms: 48n + -96n = -48n -96 + -48n = -48 + 96n + -96n Combine like terms: 96n + -96n = 0 -96 + -48n = -48 + 0 -96 + -48n = -48 Add '96' to each side of the equation. -96 + 96 + -48n = -48 + 96 Combine like terms: -96 + 96 = 0 0 + -48n = -48 + 96 -48n = -48 + 96 Combine like terms: -48 + 96 = 48 -48n = 48 Divide each side by '-48'. n = -1 Simplifying n = -1
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