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Simplifying 7(4 + 5n) = -10 + -3n (4 * 7 + 5n * 7) = -10 + -3n (28 + 35n) = -10 + -3n Solving 28 + 35n = -10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 28 + 35n + 3n = -10 + -3n + 3n Combine like terms: 35n + 3n = 38n 28 + 38n = -10 + -3n + 3n Combine like terms: -3n + 3n = 0 28 + 38n = -10 + 0 28 + 38n = -10 Add '-28' to each side of the equation. 28 + -28 + 38n = -10 + -28 Combine like terms: 28 + -28 = 0 0 + 38n = -10 + -28 38n = -10 + -28 Combine like terms: -10 + -28 = -38 38n = -38 Divide each side by '38'. n = -1 Simplifying n = -1
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