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Simplifying -7(5n + -6) = 4 + 3n Reorder the terms: -7(-6 + 5n) = 4 + 3n (-6 * -7 + 5n * -7) = 4 + 3n (42 + -35n) = 4 + 3n Solving 42 + -35n = 4 + 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. 42 + -35n + -3n = 4 + 3n + -3n Combine like terms: -35n + -3n = -38n 42 + -38n = 4 + 3n + -3n Combine like terms: 3n + -3n = 0 42 + -38n = 4 + 0 42 + -38n = 4 Add '-42' to each side of the equation. 42 + -42 + -38n = 4 + -42 Combine like terms: 42 + -42 = 0 0 + -38n = 4 + -42 -38n = 4 + -42 Combine like terms: 4 + -42 = -38 -38n = -38 Divide each side by '-38'. n = 1 Simplifying n = 1
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