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Simplifying 58 = 6(8n + 7) + 4(4 + -1n) Reorder the terms: 58 = 6(7 + 8n) + 4(4 + -1n) 58 = (7 * 6 + 8n * 6) + 4(4 + -1n) 58 = (42 + 48n) + 4(4 + -1n) 58 = 42 + 48n + (4 * 4 + -1n * 4) 58 = 42 + 48n + (16 + -4n) Reorder the terms: 58 = 42 + 16 + 48n + -4n Combine like terms: 42 + 16 = 58 58 = 58 + 48n + -4n Combine like terms: 48n + -4n = 44n 58 = 58 + 44n Add '-58' to each side of the equation. 58 + -58 = 58 + -58 + 44n Combine like terms: 58 + -58 = 0 0 = 58 + -58 + 44n Combine like terms: 58 + -58 = 0 0 = 0 + 44n 0 = 44n Solving 0 = 44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44n' to each side of the equation. 0 + -44n = 44n + -44n Remove the zero: -44n = 44n + -44n Combine like terms: 44n + -44n = 0 -44n = 0 Divide each side by '-44'. n = 0 Simplifying n = 0
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