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Simplifying 12 + 2d = 3(-2 + 4) + 8d Combine like terms: -2 + 4 = 2 12 + 2d = 3(2) + 8d Multiply 3 * 2 12 + 2d = 6 + 8d Solving 12 + 2d = 6 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 12 + 2d + -8d = 6 + 8d + -8d Combine like terms: 2d + -8d = -6d 12 + -6d = 6 + 8d + -8d Combine like terms: 8d + -8d = 0 12 + -6d = 6 + 0 12 + -6d = 6 Add '-12' to each side of the equation. 12 + -12 + -6d = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6d = 6 + -12 -6d = 6 + -12 Combine like terms: 6 + -12 = -6 -6d = -6 Divide each side by '-6'. d = 1 Simplifying d = 1
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