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Simplifying 6d + -1(d + 6) = 12 Reorder the terms: 6d + -1(6 + d) = 12 6d + (6 * -1 + d * -1) = 12 6d + (-6 + -1d) = 12 Reorder the terms: -6 + 6d + -1d = 12 Combine like terms: 6d + -1d = 5d -6 + 5d = 12 Solving -6 + 5d = 12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5d = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 5d = 12 + 6 5d = 12 + 6 Combine like terms: 12 + 6 = 18 5d = 18 Divide each side by '5'. d = 3.6 Simplifying d = 3.6
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