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Simplifying -4n + -6(7n + 2) = -12 + 2n Reorder the terms: -4n + -6(2 + 7n) = -12 + 2n -4n + (2 * -6 + 7n * -6) = -12 + 2n -4n + (-12 + -42n) = -12 + 2n Reorder the terms: -12 + -4n + -42n = -12 + 2n Combine like terms: -4n + -42n = -46n -12 + -46n = -12 + 2n Add '12' to each side of the equation. -12 + 12 + -46n = -12 + 12 + 2n Combine like terms: -12 + 12 = 0 0 + -46n = -12 + 12 + 2n -46n = -12 + 12 + 2n Combine like terms: -12 + 12 = 0 -46n = 0 + 2n -46n = 2n Solving -46n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -46n + -2n = 2n + -2n Combine like terms: -46n + -2n = -48n -48n = 2n + -2n Combine like terms: 2n + -2n = 0 -48n = 0 Divide each side by '-48'. n = 0 Simplifying n = 0
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