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Simplifying 19 + -7n = 8(-4n + 7) Reorder the terms: 19 + -7n = 8(7 + -4n) 19 + -7n = (7 * 8 + -4n * 8) 19 + -7n = (56 + -32n) Solving 19 + -7n = 56 + -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. 19 + -7n + 32n = 56 + -32n + 32n Combine like terms: -7n + 32n = 25n 19 + 25n = 56 + -32n + 32n Combine like terms: -32n + 32n = 0 19 + 25n = 56 + 0 19 + 25n = 56 Add '-19' to each side of the equation. 19 + -19 + 25n = 56 + -19 Combine like terms: 19 + -19 = 0 0 + 25n = 56 + -19 25n = 56 + -19 Combine like terms: 56 + -19 = 37 25n = 37 Divide each side by '25'. n = 1.48 Simplifying n = 1.48
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