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Simplifying 7n + -23 = -8(4n + -2) Reorder the terms: -23 + 7n = -8(4n + -2) Reorder the terms: -23 + 7n = -8(-2 + 4n) -23 + 7n = (-2 * -8 + 4n * -8) -23 + 7n = (16 + -32n) Solving -23 + 7n = 16 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -23 + 7n + 32n = 16 + -32n + 32n Combine like terms: 7n + 32n = 39n -23 + 39n = 16 + -32n + 32n Combine like terms: -32n + 32n = 0 -23 + 39n = 16 + 0 -23 + 39n = 16 Add '23' to each side of the equation. -23 + 23 + 39n = 16 + 23 Combine like terms: -23 + 23 = 0 0 + 39n = 16 + 23 39n = 16 + 23 Combine like terms: 16 + 23 = 39 39n = 39 Divide each side by '39'. n = 1 Simplifying n = 1
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