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Simplifying 2(9n + -1) = 99 + -7(3 + -4n) Reorder the terms: 2(-1 + 9n) = 99 + -7(3 + -4n) (-1 * 2 + 9n * 2) = 99 + -7(3 + -4n) (-2 + 18n) = 99 + -7(3 + -4n) -2 + 18n = 99 + (3 * -7 + -4n * -7) -2 + 18n = 99 + (-21 + 28n) Combine like terms: 99 + -21 = 78 -2 + 18n = 78 + 28n Solving -2 + 18n = 78 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -2 + 18n + -28n = 78 + 28n + -28n Combine like terms: 18n + -28n = -10n -2 + -10n = 78 + 28n + -28n Combine like terms: 28n + -28n = 0 -2 + -10n = 78 + 0 -2 + -10n = 78 Add '2' to each side of the equation. -2 + 2 + -10n = 78 + 2 Combine like terms: -2 + 2 = 0 0 + -10n = 78 + 2 -10n = 78 + 2 Combine like terms: 78 + 2 = 80 -10n = 80 Divide each side by '-10'. n = -8 Simplifying n = -8
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