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Simplifying -2 = -4(-7n + 1) + 5(8 + 2n) Reorder the terms: -2 = -4(1 + -7n) + 5(8 + 2n) -2 = (1 * -4 + -7n * -4) + 5(8 + 2n) -2 = (-4 + 28n) + 5(8 + 2n) -2 = -4 + 28n + (8 * 5 + 2n * 5) -2 = -4 + 28n + (40 + 10n) Reorder the terms: -2 = -4 + 40 + 28n + 10n Combine like terms: -4 + 40 = 36 -2 = 36 + 28n + 10n Combine like terms: 28n + 10n = 38n -2 = 36 + 38n Solving -2 = 36 + 38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38n' to each side of the equation. -2 + -38n = 36 + 38n + -38n Combine like terms: 38n + -38n = 0 -2 + -38n = 36 + 0 -2 + -38n = 36 Add '2' to each side of the equation. -2 + 2 + -38n = 36 + 2 Combine like terms: -2 + 2 = 0 0 + -38n = 36 + 2 -38n = 36 + 2 Combine like terms: 36 + 2 = 38 -38n = 38 Divide each side by '-38'. n = -1 Simplifying n = -1
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