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Simplifying 10n + 4(3n + -2) = -4 + -4(3n + 1) Reorder the terms: 10n + 4(-2 + 3n) = -4 + -4(3n + 1) 10n + (-2 * 4 + 3n * 4) = -4 + -4(3n + 1) 10n + (-8 + 12n) = -4 + -4(3n + 1) Reorder the terms: -8 + 10n + 12n = -4 + -4(3n + 1) Combine like terms: 10n + 12n = 22n -8 + 22n = -4 + -4(3n + 1) Reorder the terms: -8 + 22n = -4 + -4(1 + 3n) -8 + 22n = -4 + (1 * -4 + 3n * -4) -8 + 22n = -4 + (-4 + -12n) Combine like terms: -4 + -4 = -8 -8 + 22n = -8 + -12n Add '8' to each side of the equation. -8 + 8 + 22n = -8 + 8 + -12n Combine like terms: -8 + 8 = 0 0 + 22n = -8 + 8 + -12n 22n = -8 + 8 + -12n Combine like terms: -8 + 8 = 0 22n = 0 + -12n 22n = -12n Solving 22n = -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. 22n + 12n = -12n + 12n Combine like terms: 22n + 12n = 34n 34n = -12n + 12n Combine like terms: -12n + 12n = 0 34n = 0 Divide each side by '34'. n = 0 Simplifying n = 0
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