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Simplifying 3(2d + -5) + 3 = 3(2d + -1) + -9 Reorder the terms: 3(-5 + 2d) + 3 = 3(2d + -1) + -9 (-5 * 3 + 2d * 3) + 3 = 3(2d + -1) + -9 (-15 + 6d) + 3 = 3(2d + -1) + -9 Reorder the terms: -15 + 3 + 6d = 3(2d + -1) + -9 Combine like terms: -15 + 3 = -12 -12 + 6d = 3(2d + -1) + -9 Reorder the terms: -12 + 6d = 3(-1 + 2d) + -9 -12 + 6d = (-1 * 3 + 2d * 3) + -9 -12 + 6d = (-3 + 6d) + -9 Reorder the terms: -12 + 6d = -3 + -9 + 6d Combine like terms: -3 + -9 = -12 -12 + 6d = -12 + 6d Add '12' to each side of the equation. -12 + 12 + 6d = -12 + 12 + 6d Combine like terms: -12 + 12 = 0 0 + 6d = -12 + 12 + 6d 6d = -12 + 12 + 6d Combine like terms: -12 + 12 = 0 6d = 0 + 6d 6d = 6d Add '-6d' to each side of the equation. 6d + -6d = 6d + -6d Combine like terms: 6d + -6d = 0 0 = 6d + -6d Combine like terms: 6d + -6d = 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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