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Simplifying -128 = -6(1 + 3n) + 4 -128 = (1 * -6 + 3n * -6) + 4 -128 = (-6 + -18n) + 4 Reorder the terms: -128 = -6 + 4 + -18n Combine like terms: -6 + 4 = -2 -128 = -2 + -18n Solving -128 = -2 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -128 + 18n = -2 + -18n + 18n Combine like terms: -18n + 18n = 0 -128 + 18n = -2 + 0 -128 + 18n = -2 Add '128' to each side of the equation. -128 + 128 + 18n = -2 + 128 Combine like terms: -128 + 128 = 0 0 + 18n = -2 + 128 18n = -2 + 128 Combine like terms: -2 + 128 = 126 18n = 126 Divide each side by '18'. n = 7 Simplifying n = 7
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