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Simplifying 6(2n + -5) + 16 = 10n + -18 Reorder the terms: 6(-5 + 2n) + 16 = 10n + -18 (-5 * 6 + 2n * 6) + 16 = 10n + -18 (-30 + 12n) + 16 = 10n + -18 Reorder the terms: -30 + 16 + 12n = 10n + -18 Combine like terms: -30 + 16 = -14 -14 + 12n = 10n + -18 Reorder the terms: -14 + 12n = -18 + 10n Solving -14 + 12n = -18 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -14 + 12n + -10n = -18 + 10n + -10n Combine like terms: 12n + -10n = 2n -14 + 2n = -18 + 10n + -10n Combine like terms: 10n + -10n = 0 -14 + 2n = -18 + 0 -14 + 2n = -18 Add '14' to each side of the equation. -14 + 14 + 2n = -18 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = -18 + 14 2n = -18 + 14 Combine like terms: -18 + 14 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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