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Simplifying 5(3 + -1d) * n = 2d + 1 Reorder the terms for easier multiplication: 5n(3 + -1d) = 2d + 1 (3 * 5n + -1d * 5n) = 2d + 1 Reorder the terms: (-5dn + 15n) = 2d + 1 (-5dn + 15n) = 2d + 1 Reorder the terms: -5dn + 15n = 1 + 2d Solving -5dn + 15n = 1 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -5dn + -2d + 15n = 1 + 2d + -2d Reorder the terms: -2d + -5dn + 15n = 1 + 2d + -2d Combine like terms: 2d + -2d = 0 -2d + -5dn + 15n = 1 + 0 -2d + -5dn + 15n = 1 Add '-15n' to each side of the equation. -2d + -5dn + 15n + -15n = 1 + -15n Combine like terms: 15n + -15n = 0 -2d + -5dn + 0 = 1 + -15n -2d + -5dn = 1 + -15n Reorder the terms: -1 + -2d + -5dn + 15n = 1 + -15n + -1 + 15n Reorder the terms: -1 + -2d + -5dn + 15n = 1 + -1 + -15n + 15n Combine like terms: 1 + -1 = 0 -1 + -2d + -5dn + 15n = 0 + -15n + 15n -1 + -2d + -5dn + 15n = -15n + 15n Combine like terms: -15n + 15n = 0 -1 + -2d + -5dn + 15n = 0 The solution to this equation could not be determined.
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