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Simplifying 4x * 7 + n = 44 + -1n Reorder the terms for easier multiplication: 4 * 7x + n = 44 + -1n Multiply 4 * 7 28x + n = 44 + -1n Reorder the terms: n + 28x = 44 + -1n Solving n + 28x = 44 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. n + n + 28x = 44 + -1n + n Combine like terms: n + n = 2n 2n + 28x = 44 + -1n + n Combine like terms: -1n + n = 0 2n + 28x = 44 + 0 2n + 28x = 44 Add '-28x' to each side of the equation. 2n + 28x + -28x = 44 + -28x Combine like terms: 28x + -28x = 0 2n + 0 = 44 + -28x 2n = 44 + -28x Divide each side by '2'. n = 22 + -14x Simplifying n = 22 + -14x
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