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Simplifying 10n + 19 = 12n + -4 Reorder the terms: 19 + 10n = 12n + -4 Reorder the terms: 19 + 10n = -4 + 12n Solving 19 + 10n = -4 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 19 + 10n + -12n = -4 + 12n + -12n Combine like terms: 10n + -12n = -2n 19 + -2n = -4 + 12n + -12n Combine like terms: 12n + -12n = 0 19 + -2n = -4 + 0 19 + -2n = -4 Add '-19' to each side of the equation. 19 + -19 + -2n = -4 + -19 Combine like terms: 19 + -19 = 0 0 + -2n = -4 + -19 -2n = -4 + -19 Combine like terms: -4 + -19 = -23 -2n = -23 Divide each side by '-2'. n = 11.5 Simplifying n = 11.5
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