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Simplifying 2(6d + -8) + -2 = 114 Reorder the terms: 2(-8 + 6d) + -2 = 114 (-8 * 2 + 6d * 2) + -2 = 114 (-16 + 12d) + -2 = 114 Reorder the terms: -16 + -2 + 12d = 114 Combine like terms: -16 + -2 = -18 -18 + 12d = 114 Solving -18 + 12d = 114 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12d = 114 + 18 Combine like terms: -18 + 18 = 0 0 + 12d = 114 + 18 12d = 114 + 18 Combine like terms: 114 + 18 = 132 12d = 132 Divide each side by '12'. d = 11 Simplifying d = 11
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