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Simplifying 4(2d + -3) + d = 42 Reorder the terms: 4(-3 + 2d) + d = 42 (-3 * 4 + 2d * 4) + d = 42 (-12 + 8d) + d = 42 Combine like terms: 8d + d = 9d -12 + 9d = 42 Solving -12 + 9d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9d = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 9d = 42 + 12 9d = 42 + 12 Combine like terms: 42 + 12 = 54 9d = 54 Divide each side by '9'. d = 6 Simplifying d = 6
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