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Simplifying 5(2n + -7) = 15n + -10 Reorder the terms: 5(-7 + 2n) = 15n + -10 (-7 * 5 + 2n * 5) = 15n + -10 (-35 + 10n) = 15n + -10 Reorder the terms: -35 + 10n = -10 + 15n Solving -35 + 10n = -10 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -35 + 10n + -15n = -10 + 15n + -15n Combine like terms: 10n + -15n = -5n -35 + -5n = -10 + 15n + -15n Combine like terms: 15n + -15n = 0 -35 + -5n = -10 + 0 -35 + -5n = -10 Add '35' to each side of the equation. -35 + 35 + -5n = -10 + 35 Combine like terms: -35 + 35 = 0 0 + -5n = -10 + 35 -5n = -10 + 35 Combine like terms: -10 + 35 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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