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Simplifying -6 + -5(1 + 2n) = 5n + 4 -6 + (1 * -5 + 2n * -5) = 5n + 4 -6 + (-5 + -10n) = 5n + 4 Combine like terms: -6 + -5 = -11 -11 + -10n = 5n + 4 Reorder the terms: -11 + -10n = 4 + 5n Solving -11 + -10n = 4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -11 + -10n + -5n = 4 + 5n + -5n Combine like terms: -10n + -5n = -15n -11 + -15n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 -11 + -15n = 4 + 0 -11 + -15n = 4 Add '11' to each side of the equation. -11 + 11 + -15n = 4 + 11 Combine like terms: -11 + 11 = 0 0 + -15n = 4 + 11 -15n = 4 + 11 Combine like terms: 4 + 11 = 15 -15n = 15 Divide each side by '-15'. n = -1 Simplifying n = -1
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