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Simplifying -6(x + -2) * 4(5n + -3) = 25 Reorder the terms: -6(-2 + x) * 4(5n + -3) = 25 Reorder the terms: -6(-2 + x) * 4(-3 + 5n) = 25 Reorder the terms for easier multiplication: -6 * 4(-2 + x)(-3 + 5n) = 25 Multiply -6 * 4 -24(-2 + x)(-3 + 5n) = 25 Multiply (-2 + x) * (-3 + 5n) -24(-2(-3 + 5n) + x(-3 + 5n)) = 25 -24((-3 * -2 + 5n * -2) + x(-3 + 5n)) = 25 -24((6 + -10n) + x(-3 + 5n)) = 25 -24(6 + -10n + (-3 * x + 5n * x)) = 25 Reorder the terms: -24(6 + -10n + (5nx + -3x)) = 25 -24(6 + -10n + (5nx + -3x)) = 25 -24(6 + -10n + 5nx + -3x) = 25 (6 * -24 + -10n * -24 + 5nx * -24 + -3x * -24) = 25 (-144 + 240n + -120nx + 72x) = 25 Solving -144 + 240n + -120nx + 72x = 25 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 240n + -120nx + 144 + 72x = 25 + 144 Reorder the terms: -144 + 144 + 240n + -120nx + 72x = 25 + 144 Combine like terms: -144 + 144 = 0 0 + 240n + -120nx + 72x = 25 + 144 240n + -120nx + 72x = 25 + 144 Combine like terms: 25 + 144 = 169 240n + -120nx + 72x = 169 Add '-72x' to each side of the equation. 240n + -120nx + 72x + -72x = 169 + -72x Combine like terms: 72x + -72x = 0 240n + -120nx + 0 = 169 + -72x 240n + -120nx = 169 + -72x Reorder the terms: -169 + 240n + -120nx + 72x = 169 + -72x + -169 + 72x Reorder the terms: -169 + 240n + -120nx + 72x = 169 + -169 + -72x + 72x Combine like terms: 169 + -169 = 0 -169 + 240n + -120nx + 72x = 0 + -72x + 72x -169 + 240n + -120nx + 72x = -72x + 72x Combine like terms: -72x + 72x = 0 -169 + 240n + -120nx + 72x = 0 The solution to this equation could not be determined.
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