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Simplifying 5(3d + 2) + 15 = 4(2d + 5) + 7d + 5 Reorder the terms: 5(2 + 3d) + 15 = 4(2d + 5) + 7d + 5 (2 * 5 + 3d * 5) + 15 = 4(2d + 5) + 7d + 5 (10 + 15d) + 15 = 4(2d + 5) + 7d + 5 Reorder the terms: 10 + 15 + 15d = 4(2d + 5) + 7d + 5 Combine like terms: 10 + 15 = 25 25 + 15d = 4(2d + 5) + 7d + 5 Reorder the terms: 25 + 15d = 4(5 + 2d) + 7d + 5 25 + 15d = (5 * 4 + 2d * 4) + 7d + 5 25 + 15d = (20 + 8d) + 7d + 5 Reorder the terms: 25 + 15d = 20 + 5 + 8d + 7d Combine like terms: 20 + 5 = 25 25 + 15d = 25 + 8d + 7d Combine like terms: 8d + 7d = 15d 25 + 15d = 25 + 15d Add '-25' to each side of the equation. 25 + -25 + 15d = 25 + -25 + 15d Combine like terms: 25 + -25 = 0 0 + 15d = 25 + -25 + 15d 15d = 25 + -25 + 15d Combine like terms: 25 + -25 = 0 15d = 0 + 15d 15d = 15d Add '-15d' to each side of the equation. 15d + -15d = 15d + -15d Combine like terms: 15d + -15d = 0 0 = 15d + -15d Combine like terms: 15d + -15d = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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