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Simplifying 3(2n + -5) + -1n = -7(n + 3) Reorder the terms: 3(-5 + 2n) + -1n = -7(n + 3) (-5 * 3 + 2n * 3) + -1n = -7(n + 3) (-15 + 6n) + -1n = -7(n + 3) Combine like terms: 6n + -1n = 5n -15 + 5n = -7(n + 3) Reorder the terms: -15 + 5n = -7(3 + n) -15 + 5n = (3 * -7 + n * -7) -15 + 5n = (-21 + -7n) Solving -15 + 5n = -21 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -15 + 5n + 7n = -21 + -7n + 7n Combine like terms: 5n + 7n = 12n -15 + 12n = -21 + -7n + 7n Combine like terms: -7n + 7n = 0 -15 + 12n = -21 + 0 -15 + 12n = -21 Add '15' to each side of the equation. -15 + 15 + 12n = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 12n = -21 + 15 12n = -21 + 15 Combine like terms: -21 + 15 = -6 12n = -6 Divide each side by '12'. n = -0.5 Simplifying n = -0.5
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