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Simplifying -3(4 + 6n) + -7 = 8n + -7 + -14 (4 * -3 + 6n * -3) + -7 = 8n + -7 + -14 (-12 + -18n) + -7 = 8n + -7 + -14 Reorder the terms: -12 + -7 + -18n = 8n + -7 + -14 Combine like terms: -12 + -7 = -19 -19 + -18n = 8n + -7 + -14 Reorder the terms: -19 + -18n = -7 + -14 + 8n Combine like terms: -7 + -14 = -21 -19 + -18n = -21 + 8n Solving -19 + -18n = -21 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -19 + -18n + -8n = -21 + 8n + -8n Combine like terms: -18n + -8n = -26n -19 + -26n = -21 + 8n + -8n Combine like terms: 8n + -8n = 0 -19 + -26n = -21 + 0 -19 + -26n = -21 Add '19' to each side of the equation. -19 + 19 + -26n = -21 + 19 Combine like terms: -19 + 19 = 0 0 + -26n = -21 + 19 -26n = -21 + 19 Combine like terms: -21 + 19 = -2 -26n = -2 Divide each side by '-26'. n = 0.07692307692 Simplifying n = 0.07692307692
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