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Simplifying 7(d + 2) + -2(2d + 1) = 21 Reorder the terms: 7(2 + d) + -2(2d + 1) = 21 (2 * 7 + d * 7) + -2(2d + 1) = 21 (14 + 7d) + -2(2d + 1) = 21 Reorder the terms: 14 + 7d + -2(1 + 2d) = 21 14 + 7d + (1 * -2 + 2d * -2) = 21 14 + 7d + (-2 + -4d) = 21 Reorder the terms: 14 + -2 + 7d + -4d = 21 Combine like terms: 14 + -2 = 12 12 + 7d + -4d = 21 Combine like terms: 7d + -4d = 3d 12 + 3d = 21 Solving 12 + 3d = 21 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3d = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3d = 21 + -12 3d = 21 + -12 Combine like terms: 21 + -12 = 9 3d = 9 Divide each side by '3'. d = 3 Simplifying d = 3
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