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Simplifying -2(n + 3) + -5(n + 3) = 7 Reorder the terms: -2(3 + n) + -5(n + 3) = 7 (3 * -2 + n * -2) + -5(n + 3) = 7 (-6 + -2n) + -5(n + 3) = 7 Reorder the terms: -6 + -2n + -5(3 + n) = 7 -6 + -2n + (3 * -5 + n * -5) = 7 -6 + -2n + (-15 + -5n) = 7 Reorder the terms: -6 + -15 + -2n + -5n = 7 Combine like terms: -6 + -15 = -21 -21 + -2n + -5n = 7 Combine like terms: -2n + -5n = -7n -21 + -7n = 7 Solving -21 + -7n = 7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -7n = 7 + 21 Combine like terms: -21 + 21 = 0 0 + -7n = 7 + 21 -7n = 7 + 21 Combine like terms: 7 + 21 = 28 -7n = 28 Divide each side by '-7'. n = -4 Simplifying n = -4
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