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Simplifying -6(8n + 14) + -16n = -18n + 54 Reorder the terms: -6(14 + 8n) + -16n = -18n + 54 (14 * -6 + 8n * -6) + -16n = -18n + 54 (-84 + -48n) + -16n = -18n + 54 Combine like terms: -48n + -16n = -64n -84 + -64n = -18n + 54 Reorder the terms: -84 + -64n = 54 + -18n Solving -84 + -64n = 54 + -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. -84 + -64n + 18n = 54 + -18n + 18n Combine like terms: -64n + 18n = -46n -84 + -46n = 54 + -18n + 18n Combine like terms: -18n + 18n = 0 -84 + -46n = 54 + 0 -84 + -46n = 54 Add '84' to each side of the equation. -84 + 84 + -46n = 54 + 84 Combine like terms: -84 + 84 = 0 0 + -46n = 54 + 84 -46n = 54 + 84 Combine like terms: 54 + 84 = 138 -46n = 138 Divide each side by '-46'. n = -3 Simplifying n = -3
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