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Simplifying 6(D + -2) = 9(D + -4) Reorder the terms: 6(-2 + D) = 9(D + -4) (-2 * 6 + D * 6) = 9(D + -4) (-12 + 6D) = 9(D + -4) Reorder the terms: -12 + 6D = 9(-4 + D) -12 + 6D = (-4 * 9 + D * 9) -12 + 6D = (-36 + 9D) Solving -12 + 6D = -36 + 9D Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-9D' to each side of the equation. -12 + 6D + -9D = -36 + 9D + -9D Combine like terms: 6D + -9D = -3D -12 + -3D = -36 + 9D + -9D Combine like terms: 9D + -9D = 0 -12 + -3D = -36 + 0 -12 + -3D = -36 Add '12' to each side of the equation. -12 + 12 + -3D = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -3D = -36 + 12 -3D = -36 + 12 Combine like terms: -36 + 12 = -24 -3D = -24 Divide each side by '-3'. D = 8 Simplifying D = 8
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