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Simplifying 16d + 4 = 3(2d + -12) Reorder the terms: 4 + 16d = 3(2d + -12) Reorder the terms: 4 + 16d = 3(-12 + 2d) 4 + 16d = (-12 * 3 + 2d * 3) 4 + 16d = (-36 + 6d) Solving 4 + 16d = -36 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 4 + 16d + -6d = -36 + 6d + -6d Combine like terms: 16d + -6d = 10d 4 + 10d = -36 + 6d + -6d Combine like terms: 6d + -6d = 0 4 + 10d = -36 + 0 4 + 10d = -36 Add '-4' to each side of the equation. 4 + -4 + 10d = -36 + -4 Combine like terms: 4 + -4 = 0 0 + 10d = -36 + -4 10d = -36 + -4 Combine like terms: -36 + -4 = -40 10d = -40 Divide each side by '10'. d = -4 Simplifying d = -4
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