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Simplifying 17(n + -56) = 10(n + -63) Reorder the terms: 17(-56 + n) = 10(n + -63) (-56 * 17 + n * 17) = 10(n + -63) (-952 + 17n) = 10(n + -63) Reorder the terms: -952 + 17n = 10(-63 + n) -952 + 17n = (-63 * 10 + n * 10) -952 + 17n = (-630 + 10n) Solving -952 + 17n = -630 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -952 + 17n + -10n = -630 + 10n + -10n Combine like terms: 17n + -10n = 7n -952 + 7n = -630 + 10n + -10n Combine like terms: 10n + -10n = 0 -952 + 7n = -630 + 0 -952 + 7n = -630 Add '952' to each side of the equation. -952 + 952 + 7n = -630 + 952 Combine like terms: -952 + 952 = 0 0 + 7n = -630 + 952 7n = -630 + 952 Combine like terms: -630 + 952 = 322 7n = 322 Divide each side by '7'. n = 46 Simplifying n = 46
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