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Simplifying -2(5n + 6) + 5(2 + -7n) = 0 Reorder the terms: -2(6 + 5n) + 5(2 + -7n) = 0 (6 * -2 + 5n * -2) + 5(2 + -7n) = 0 (-12 + -10n) + 5(2 + -7n) = 0 -12 + -10n + (2 * 5 + -7n * 5) = 0 -12 + -10n + (10 + -35n) = 0 Reorder the terms: -12 + 10 + -10n + -35n = 0 Combine like terms: -12 + 10 = -2 -2 + -10n + -35n = 0 Combine like terms: -10n + -35n = -45n -2 + -45n = 0 Solving -2 + -45n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -45n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -45n = 0 + 2 -45n = 0 + 2 Combine like terms: 0 + 2 = 2 -45n = 2 Divide each side by '-45'. n = -0.04444444444 Simplifying n = -0.04444444444
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