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Simplifying 7(-1n + -3) + -7(1 + 2n) = -7 Reorder the terms: 7(-3 + -1n) + -7(1 + 2n) = -7 (-3 * 7 + -1n * 7) + -7(1 + 2n) = -7 (-21 + -7n) + -7(1 + 2n) = -7 -21 + -7n + (1 * -7 + 2n * -7) = -7 -21 + -7n + (-7 + -14n) = -7 Reorder the terms: -21 + -7 + -7n + -14n = -7 Combine like terms: -21 + -7 = -28 -28 + -7n + -14n = -7 Combine like terms: -7n + -14n = -21n -28 + -21n = -7 Solving -28 + -21n = -7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -21n = -7 + 28 Combine like terms: -28 + 28 = 0 0 + -21n = -7 + 28 -21n = -7 + 28 Combine like terms: -7 + 28 = 21 -21n = 21 Divide each side by '-21'. n = -1 Simplifying n = -1
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