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Simplifying 7(2 + -5) + -8 = -3D + -2D + 6 Combine like terms: 2 + -5 = -3 7(-3) + -8 = -3D + -2D + 6 Multiply 7 * -3 -21 + -8 = -3D + -2D + 6 Combine like terms: -21 + -8 = -29 -29 = -3D + -2D + 6 Reorder the terms: -29 = 6 + -3D + -2D Combine like terms: -3D + -2D = -5D -29 = 6 + -5D Solving -29 = 6 + -5D Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '5D' to each side of the equation. -29 + 5D = 6 + -5D + 5D Combine like terms: -5D + 5D = 0 -29 + 5D = 6 + 0 -29 + 5D = 6 Add '29' to each side of the equation. -29 + 29 + 5D = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 5D = 6 + 29 5D = 6 + 29 Combine like terms: 6 + 29 = 35 5D = 35 Divide each side by '5'. D = 7 Simplifying D = 7
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