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Simplifying 18n + -32 = 8 + 10n + -1(-18n) + 14 Reorder the terms: -32 + 18n = 8 + 10n + -1(-18n) + 14 Remove parenthesis around (-18n) -32 + 18n = 8 + 10n + -1 * -18n + 14 Multiply -1 * -18 -32 + 18n = 8 + 10n + 18n + 14 Reorder the terms: -32 + 18n = 8 + 14 + 10n + 18n Combine like terms: 8 + 14 = 22 -32 + 18n = 22 + 10n + 18n Combine like terms: 10n + 18n = 28n -32 + 18n = 22 + 28n Solving -32 + 18n = 22 + 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. -32 + 18n + -28n = 22 + 28n + -28n Combine like terms: 18n + -28n = -10n -32 + -10n = 22 + 28n + -28n Combine like terms: 28n + -28n = 0 -32 + -10n = 22 + 0 -32 + -10n = 22 Add '32' to each side of the equation. -32 + 32 + -10n = 22 + 32 Combine like terms: -32 + 32 = 0 0 + -10n = 22 + 32 -10n = 22 + 32 Combine like terms: 22 + 32 = 54 -10n = 54 Divide each side by '-10'. n = -5.4 Simplifying n = -5.4
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