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Simplifying 7n + 3(5n + -4) = 12n + 28 Reorder the terms: 7n + 3(-4 + 5n) = 12n + 28 7n + (-4 * 3 + 5n * 3) = 12n + 28 7n + (-12 + 15n) = 12n + 28 Reorder the terms: -12 + 7n + 15n = 12n + 28 Combine like terms: 7n + 15n = 22n -12 + 22n = 12n + 28 Reorder the terms: -12 + 22n = 28 + 12n Solving -12 + 22n = 28 + 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. -12 + 22n + -12n = 28 + 12n + -12n Combine like terms: 22n + -12n = 10n -12 + 10n = 28 + 12n + -12n Combine like terms: 12n + -12n = 0 -12 + 10n = 28 + 0 -12 + 10n = 28 Add '12' to each side of the equation. -12 + 12 + 10n = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 10n = 28 + 12 10n = 28 + 12 Combine like terms: 28 + 12 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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