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Simplifying 2n + -3 = 7(n + -4) Reorder the terms: -3 + 2n = 7(n + -4) Reorder the terms: -3 + 2n = 7(-4 + n) -3 + 2n = (-4 * 7 + n * 7) -3 + 2n = (-28 + 7n) Solving -3 + 2n = -28 + 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. -3 + 2n + -7n = -28 + 7n + -7n Combine like terms: 2n + -7n = -5n -3 + -5n = -28 + 7n + -7n Combine like terms: 7n + -7n = 0 -3 + -5n = -28 + 0 -3 + -5n = -28 Add '3' to each side of the equation. -3 + 3 + -5n = -28 + 3 Combine like terms: -3 + 3 = 0 0 + -5n = -28 + 3 -5n = -28 + 3 Combine like terms: -28 + 3 = -25 -5n = -25 Divide each side by '-5'. n = 5 Simplifying n = 5
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