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Simplifying 10n + -30 = 10(2n + 1) Reorder the terms: -30 + 10n = 10(2n + 1) Reorder the terms: -30 + 10n = 10(1 + 2n) -30 + 10n = (1 * 10 + 2n * 10) -30 + 10n = (10 + 20n) Solving -30 + 10n = 10 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -30 + 10n + -20n = 10 + 20n + -20n Combine like terms: 10n + -20n = -10n -30 + -10n = 10 + 20n + -20n Combine like terms: 20n + -20n = 0 -30 + -10n = 10 + 0 -30 + -10n = 10 Add '30' to each side of the equation. -30 + 30 + -10n = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -10n = 10 + 30 -10n = 10 + 30 Combine like terms: 10 + 30 = 40 -10n = 40 Divide each side by '-10'. n = -4 Simplifying n = -4
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