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Simplifying 7 = 3(d + 16) + -8 Reorder the terms: 7 = 3(16 + d) + -8 7 = (16 * 3 + d * 3) + -8 7 = (48 + 3d) + -8 Reorder the terms: 7 = 48 + -8 + 3d Combine like terms: 48 + -8 = 40 7 = 40 + 3d Solving 7 = 40 + 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 + -3d = 40 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + -3d = 40 + 0 7 + -3d = 40 Add '-7' to each side of the equation. 7 + -7 + -3d = 40 + -7 Combine like terms: 7 + -7 = 0 0 + -3d = 40 + -7 -3d = 40 + -7 Combine like terms: 40 + -7 = 33 -3d = 33 Divide each side by '-3'. d = -11 Simplifying d = -11
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