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Simplifying -12 + -6n = 4(7n + 8) Reorder the terms: -12 + -6n = 4(8 + 7n) -12 + -6n = (8 * 4 + 7n * 4) -12 + -6n = (32 + 28n) Solving -12 + -6n = 32 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -12 + -6n + -28n = 32 + 28n + -28n Combine like terms: -6n + -28n = -34n -12 + -34n = 32 + 28n + -28n Combine like terms: 28n + -28n = 0 -12 + -34n = 32 + 0 -12 + -34n = 32 Add '12' to each side of the equation. -12 + 12 + -34n = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -34n = 32 + 12 -34n = 32 + 12 Combine like terms: 32 + 12 = 44 -34n = 44 Divide each side by '-34'. n = -1.294117647 Simplifying n = -1.294117647
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