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Simplifying -32 + 10n = -14(-12 + 16n) + 6 -32 + 10n = (-12 * -14 + 16n * -14) + 6 -32 + 10n = (168 + -224n) + 6 Reorder the terms: -32 + 10n = 168 + 6 + -224n Combine like terms: 168 + 6 = 174 -32 + 10n = 174 + -224n Solving -32 + 10n = 174 + -224n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '224n' to each side of the equation. -32 + 10n + 224n = 174 + -224n + 224n Combine like terms: 10n + 224n = 234n -32 + 234n = 174 + -224n + 224n Combine like terms: -224n + 224n = 0 -32 + 234n = 174 + 0 -32 + 234n = 174 Add '32' to each side of the equation. -32 + 32 + 234n = 174 + 32 Combine like terms: -32 + 32 = 0 0 + 234n = 174 + 32 234n = 174 + 32 Combine like terms: 174 + 32 = 206 234n = 206 Divide each side by '234'. n = 0.8803418803 Simplifying n = 0.8803418803
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