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Simplifying 4(n + -1) + -3n = 7(n + 1) + 1 Reorder the terms: 4(-1 + n) + -3n = 7(n + 1) + 1 (-1 * 4 + n * 4) + -3n = 7(n + 1) + 1 (-4 + 4n) + -3n = 7(n + 1) + 1 Combine like terms: 4n + -3n = 1n -4 + 1n = 7(n + 1) + 1 Reorder the terms: -4 + 1n = 7(1 + n) + 1 -4 + 1n = (1 * 7 + n * 7) + 1 -4 + 1n = (7 + 7n) + 1 Reorder the terms: -4 + 1n = 7 + 1 + 7n Combine like terms: 7 + 1 = 8 -4 + 1n = 8 + 7n Solving -4 + 1n = 8 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -4 + 1n + -7n = 8 + 7n + -7n Combine like terms: 1n + -7n = -6n -4 + -6n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + -6n = 8 + 0 -4 + -6n = 8 Add '4' to each side of the equation. -4 + 4 + -6n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6n = 8 + 4 -6n = 8 + 4 Combine like terms: 8 + 4 = 12 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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