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Simplifying -7 + -5(4n + 7) = -7(2n + 2) + -4 Reorder the terms: -7 + -5(7 + 4n) = -7(2n + 2) + -4 -7 + (7 * -5 + 4n * -5) = -7(2n + 2) + -4 -7 + (-35 + -20n) = -7(2n + 2) + -4 Combine like terms: -7 + -35 = -42 -42 + -20n = -7(2n + 2) + -4 Reorder the terms: -42 + -20n = -7(2 + 2n) + -4 -42 + -20n = (2 * -7 + 2n * -7) + -4 -42 + -20n = (-14 + -14n) + -4 Reorder the terms: -42 + -20n = -14 + -4 + -14n Combine like terms: -14 + -4 = -18 -42 + -20n = -18 + -14n Solving -42 + -20n = -18 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -42 + -20n + 14n = -18 + -14n + 14n Combine like terms: -20n + 14n = -6n -42 + -6n = -18 + -14n + 14n Combine like terms: -14n + 14n = 0 -42 + -6n = -18 + 0 -42 + -6n = -18 Add '42' to each side of the equation. -42 + 42 + -6n = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -6n = -18 + 42 -6n = -18 + 42 Combine like terms: -18 + 42 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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