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Simplifying 6(14 + -3d) + -16 = 7d + 2(2 + -18) (14 * 6 + -3d * 6) + -16 = 7d + 2(2 + -18) (84 + -18d) + -16 = 7d + 2(2 + -18) Reorder the terms: 84 + -16 + -18d = 7d + 2(2 + -18) Combine like terms: 84 + -16 = 68 68 + -18d = 7d + 2(2 + -18) Combine like terms: 2 + -18 = -16 68 + -18d = 7d + 2(-16) Multiply 2 * -16 68 + -18d = 7d + -32 Reorder the terms: 68 + -18d = -32 + 7d Solving 68 + -18d = -32 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 68 + -18d + -7d = -32 + 7d + -7d Combine like terms: -18d + -7d = -25d 68 + -25d = -32 + 7d + -7d Combine like terms: 7d + -7d = 0 68 + -25d = -32 + 0 68 + -25d = -32 Add '-68' to each side of the equation. 68 + -68 + -25d = -32 + -68 Combine like terms: 68 + -68 = 0 0 + -25d = -32 + -68 -25d = -32 + -68 Combine like terms: -32 + -68 = -100 -25d = -100 Divide each side by '-25'. d = 4 Simplifying d = 4
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