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Simplifying -8(8n + 17) = -14n + 6(-10n + -11) Reorder the terms: -8(17 + 8n) = -14n + 6(-10n + -11) (17 * -8 + 8n * -8) = -14n + 6(-10n + -11) (-136 + -64n) = -14n + 6(-10n + -11) Reorder the terms: -136 + -64n = -14n + 6(-11 + -10n) -136 + -64n = -14n + (-11 * 6 + -10n * 6) -136 + -64n = -14n + (-66 + -60n) Reorder the terms: -136 + -64n = -66 + -14n + -60n Combine like terms: -14n + -60n = -74n -136 + -64n = -66 + -74n Solving -136 + -64n = -66 + -74n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '74n' to each side of the equation. -136 + -64n + 74n = -66 + -74n + 74n Combine like terms: -64n + 74n = 10n -136 + 10n = -66 + -74n + 74n Combine like terms: -74n + 74n = 0 -136 + 10n = -66 + 0 -136 + 10n = -66 Add '136' to each side of the equation. -136 + 136 + 10n = -66 + 136 Combine like terms: -136 + 136 = 0 0 + 10n = -66 + 136 10n = -66 + 136 Combine like terms: -66 + 136 = 70 10n = 70 Divide each side by '10'. n = 7 Simplifying n = 7
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