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Simplifying 7(n + -3) + 3(n + -4) = 2 Reorder the terms: 7(-3 + n) + 3(n + -4) = 2 (-3 * 7 + n * 7) + 3(n + -4) = 2 (-21 + 7n) + 3(n + -4) = 2 Reorder the terms: -21 + 7n + 3(-4 + n) = 2 -21 + 7n + (-4 * 3 + n * 3) = 2 -21 + 7n + (-12 + 3n) = 2 Reorder the terms: -21 + -12 + 7n + 3n = 2 Combine like terms: -21 + -12 = -33 -33 + 7n + 3n = 2 Combine like terms: 7n + 3n = 10n -33 + 10n = 2 Solving -33 + 10n = 2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 10n = 2 + 33 Combine like terms: -33 + 33 = 0 0 + 10n = 2 + 33 10n = 2 + 33 Combine like terms: 2 + 33 = 35 10n = 35 Divide each side by '10'. n = 3.5 Simplifying n = 3.5
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