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Simplifying 2 + 5(-2n + -9) = 6(-3n + -2) + -7 Reorder the terms: 2 + 5(-9 + -2n) = 6(-3n + -2) + -7 2 + (-9 * 5 + -2n * 5) = 6(-3n + -2) + -7 2 + (-45 + -10n) = 6(-3n + -2) + -7 Combine like terms: 2 + -45 = -43 -43 + -10n = 6(-3n + -2) + -7 Reorder the terms: -43 + -10n = 6(-2 + -3n) + -7 -43 + -10n = (-2 * 6 + -3n * 6) + -7 -43 + -10n = (-12 + -18n) + -7 Reorder the terms: -43 + -10n = -12 + -7 + -18n Combine like terms: -12 + -7 = -19 -43 + -10n = -19 + -18n Solving -43 + -10n = -19 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -43 + -10n + 18n = -19 + -18n + 18n Combine like terms: -10n + 18n = 8n -43 + 8n = -19 + -18n + 18n Combine like terms: -18n + 18n = 0 -43 + 8n = -19 + 0 -43 + 8n = -19 Add '43' to each side of the equation. -43 + 43 + 8n = -19 + 43 Combine like terms: -43 + 43 = 0 0 + 8n = -19 + 43 8n = -19 + 43 Combine like terms: -19 + 43 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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