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Simplifying -4(13n + 12) = -6(6n + 1) + -10n Reorder the terms: -4(12 + 13n) = -6(6n + 1) + -10n (12 * -4 + 13n * -4) = -6(6n + 1) + -10n (-48 + -52n) = -6(6n + 1) + -10n Reorder the terms: -48 + -52n = -6(1 + 6n) + -10n -48 + -52n = (1 * -6 + 6n * -6) + -10n -48 + -52n = (-6 + -36n) + -10n Combine like terms: -36n + -10n = -46n -48 + -52n = -6 + -46n Solving -48 + -52n = -6 + -46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46n' to each side of the equation. -48 + -52n + 46n = -6 + -46n + 46n Combine like terms: -52n + 46n = -6n -48 + -6n = -6 + -46n + 46n Combine like terms: -46n + 46n = 0 -48 + -6n = -6 + 0 -48 + -6n = -6 Add '48' to each side of the equation. -48 + 48 + -6n = -6 + 48 Combine like terms: -48 + 48 = 0 0 + -6n = -6 + 48 -6n = -6 + 48 Combine like terms: -6 + 48 = 42 -6n = 42 Divide each side by '-6'. n = -7 Simplifying n = -7
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