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Simplifying -9d + -12 = 9 + -7d + 19 Reorder the terms: -12 + -9d = 9 + -7d + 19 Reorder the terms: -12 + -9d = 9 + 19 + -7d Combine like terms: 9 + 19 = 28 -12 + -9d = 28 + -7d Solving -12 + -9d = 28 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. -12 + -9d + 7d = 28 + -7d + 7d Combine like terms: -9d + 7d = -2d -12 + -2d = 28 + -7d + 7d Combine like terms: -7d + 7d = 0 -12 + -2d = 28 + 0 -12 + -2d = 28 Add '12' to each side of the equation. -12 + 12 + -2d = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -2d = 28 + 12 -2d = 28 + 12 Combine like terms: 28 + 12 = 40 -2d = 40 Divide each side by '-2'. d = -20 Simplifying d = -20
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