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Simplifying -4(-6 + -9n) + 14n = 15n + 94 (-6 * -4 + -9n * -4) + 14n = 15n + 94 (24 + 36n) + 14n = 15n + 94 Combine like terms: 36n + 14n = 50n 24 + 50n = 15n + 94 Reorder the terms: 24 + 50n = 94 + 15n Solving 24 + 50n = 94 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 24 + 50n + -15n = 94 + 15n + -15n Combine like terms: 50n + -15n = 35n 24 + 35n = 94 + 15n + -15n Combine like terms: 15n + -15n = 0 24 + 35n = 94 + 0 24 + 35n = 94 Add '-24' to each side of the equation. 24 + -24 + 35n = 94 + -24 Combine like terms: 24 + -24 = 0 0 + 35n = 94 + -24 35n = 94 + -24 Combine like terms: 94 + -24 = 70 35n = 70 Divide each side by '35'. n = 2 Simplifying n = 2
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