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Simplifying (2n + 1)(3y + -2) = -55 Reorder the terms: (1 + 2n)(3y + -2) = -55 Reorder the terms: (1 + 2n)(-2 + 3y) = -55 Multiply (1 + 2n) * (-2 + 3y) (1(-2 + 3y) + 2n * (-2 + 3y)) = -55 ((-2 * 1 + 3y * 1) + 2n * (-2 + 3y)) = -55 ((-2 + 3y) + 2n * (-2 + 3y)) = -55 (-2 + 3y + (-2 * 2n + 3y * 2n)) = -55 (-2 + 3y + (-4n + 6ny)) = -55 Reorder the terms: (-2 + -4n + 6ny + 3y) = -55 (-2 + -4n + 6ny + 3y) = -55 Solving -2 + -4n + 6ny + 3y = -55 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4n + 6ny + 2 + 3y = -55 + 2 Reorder the terms: -2 + 2 + -4n + 6ny + 3y = -55 + 2 Combine like terms: -2 + 2 = 0 0 + -4n + 6ny + 3y = -55 + 2 -4n + 6ny + 3y = -55 + 2 Combine like terms: -55 + 2 = -53 -4n + 6ny + 3y = -53 Add '-3y' to each side of the equation. -4n + 6ny + 3y + -3y = -53 + -3y Combine like terms: 3y + -3y = 0 -4n + 6ny + 0 = -53 + -3y -4n + 6ny = -53 + -3y Reorder the terms: 53 + -4n + 6ny + 3y = -53 + -3y + 53 + 3y Reorder the terms: 53 + -4n + 6ny + 3y = -53 + 53 + -3y + 3y Combine like terms: -53 + 53 = 0 53 + -4n + 6ny + 3y = 0 + -3y + 3y 53 + -4n + 6ny + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 53 + -4n + 6ny + 3y = 0 The solution to this equation could not be determined.
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