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Simplifying -3x(2n + 1) + 7 = -5 Reorder the terms: -3x(1 + 2n) + 7 = -5 (1 * -3x + 2n * -3x) + 7 = -5 Reorder the terms: (-6nx + -3x) + 7 = -5 (-6nx + -3x) + 7 = -5 Reorder the terms: 7 + -6nx + -3x = -5 Solving 7 + -6nx + -3x = -5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -6nx + -7 + -3x = -5 + -7 Reorder the terms: 7 + -7 + -6nx + -3x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -6nx + -3x = -5 + -7 -6nx + -3x = -5 + -7 Combine like terms: -5 + -7 = -12 -6nx + -3x = -12 Add '3x' to each side of the equation. -6nx + -3x + 3x = -12 + 3x Combine like terms: -3x + 3x = 0 -6nx + 0 = -12 + 3x -6nx = -12 + 3x Divide each side by '-6x'. n = 2x-1 + -0.5 Simplifying n = 2x-1 + -0.5 Reorder the terms: n = -0.5 + 2x-1
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