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Simplifying 2d + -7 = 3(d + -9) Reorder the terms: -7 + 2d = 3(d + -9) Reorder the terms: -7 + 2d = 3(-9 + d) -7 + 2d = (-9 * 3 + d * 3) -7 + 2d = (-27 + 3d) Solving -7 + 2d = -27 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -7 + 2d + -3d = -27 + 3d + -3d Combine like terms: 2d + -3d = -1d -7 + -1d = -27 + 3d + -3d Combine like terms: 3d + -3d = 0 -7 + -1d = -27 + 0 -7 + -1d = -27 Add '7' to each side of the equation. -7 + 7 + -1d = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -1d = -27 + 7 -1d = -27 + 7 Combine like terms: -27 + 7 = -20 -1d = -20 Divide each side by '-1'. d = 20 Simplifying d = 20
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