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Simplifying -4(94 + 5n) + 6(2n + 1) = 54n * -7 (94 * -4 + 5n * -4) + 6(2n + 1) = 54n * -7 (-376 + -20n) + 6(2n + 1) = 54n * -7 Reorder the terms: -376 + -20n + 6(1 + 2n) = 54n * -7 -376 + -20n + (1 * 6 + 2n * 6) = 54n * -7 -376 + -20n + (6 + 12n) = 54n * -7 Reorder the terms: -376 + 6 + -20n + 12n = 54n * -7 Combine like terms: -376 + 6 = -370 -370 + -20n + 12n = 54n * -7 Combine like terms: -20n + 12n = -8n -370 + -8n = 54n * -7 Reorder the terms for easier multiplication: -370 + -8n = 54 * -7n Multiply 54 * -7 -370 + -8n = -378n Solving -370 + -8n = -378n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '378n' to each side of the equation. -370 + -8n + 378n = -378n + 378n Combine like terms: -8n + 378n = 370n -370 + 370n = -378n + 378n Combine like terms: -378n + 378n = 0 -370 + 370n = 0 Add '370' to each side of the equation. -370 + 370 + 370n = 0 + 370 Combine like terms: -370 + 370 = 0 0 + 370n = 0 + 370 370n = 0 + 370 Combine like terms: 0 + 370 = 370 370n = 370 Divide each side by '370'. n = 1 Simplifying n = 1
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