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Simplifying -3(18n + 16) + -13n = -9(10n + -10) Reorder the terms: -3(16 + 18n) + -13n = -9(10n + -10) (16 * -3 + 18n * -3) + -13n = -9(10n + -10) (-48 + -54n) + -13n = -9(10n + -10) Combine like terms: -54n + -13n = -67n -48 + -67n = -9(10n + -10) Reorder the terms: -48 + -67n = -9(-10 + 10n) -48 + -67n = (-10 * -9 + 10n * -9) -48 + -67n = (90 + -90n) Solving -48 + -67n = 90 + -90n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '90n' to each side of the equation. -48 + -67n + 90n = 90 + -90n + 90n Combine like terms: -67n + 90n = 23n -48 + 23n = 90 + -90n + 90n Combine like terms: -90n + 90n = 0 -48 + 23n = 90 + 0 -48 + 23n = 90 Add '48' to each side of the equation. -48 + 48 + 23n = 90 + 48 Combine like terms: -48 + 48 = 0 0 + 23n = 90 + 48 23n = 90 + 48 Combine like terms: 90 + 48 = 138 23n = 138 Divide each side by '23'. n = 6 Simplifying n = 6
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