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Simplifying -1(1 + -5n) + -3(5n + 4) = 7 (1 * -1 + -5n * -1) + -3(5n + 4) = 7 (-1 + 5n) + -3(5n + 4) = 7 Reorder the terms: -1 + 5n + -3(4 + 5n) = 7 -1 + 5n + (4 * -3 + 5n * -3) = 7 -1 + 5n + (-12 + -15n) = 7 Reorder the terms: -1 + -12 + 5n + -15n = 7 Combine like terms: -1 + -12 = -13 -13 + 5n + -15n = 7 Combine like terms: 5n + -15n = -10n -13 + -10n = 7 Solving -13 + -10n = 7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -10n = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -10n = 7 + 13 -10n = 7 + 13 Combine like terms: 7 + 13 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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