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Simplifying -6n + -37 = -8(2n + 8) + 7 Reorder the terms: -37 + -6n = -8(2n + 8) + 7 Reorder the terms: -37 + -6n = -8(8 + 2n) + 7 -37 + -6n = (8 * -8 + 2n * -8) + 7 -37 + -6n = (-64 + -16n) + 7 Reorder the terms: -37 + -6n = -64 + 7 + -16n Combine like terms: -64 + 7 = -57 -37 + -6n = -57 + -16n Solving -37 + -6n = -57 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -37 + -6n + 16n = -57 + -16n + 16n Combine like terms: -6n + 16n = 10n -37 + 10n = -57 + -16n + 16n Combine like terms: -16n + 16n = 0 -37 + 10n = -57 + 0 -37 + 10n = -57 Add '37' to each side of the equation. -37 + 37 + 10n = -57 + 37 Combine like terms: -37 + 37 = 0 0 + 10n = -57 + 37 10n = -57 + 37 Combine like terms: -57 + 37 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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