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Simplifying -134 = 4 + -3(5n + 6) Reorder the terms: -134 = 4 + -3(6 + 5n) -134 = 4 + (6 * -3 + 5n * -3) -134 = 4 + (-18 + -15n) Combine like terms: 4 + -18 = -14 -134 = -14 + -15n Solving -134 = -14 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -134 + 15n = -14 + -15n + 15n Combine like terms: -15n + 15n = 0 -134 + 15n = -14 + 0 -134 + 15n = -14 Add '134' to each side of the equation. -134 + 134 + 15n = -14 + 134 Combine like terms: -134 + 134 = 0 0 + 15n = -14 + 134 15n = -14 + 134 Combine like terms: -14 + 134 = 120 15n = 120 Divide each side by '15'. n = 8 Simplifying n = 8
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