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Simplifying 6(2 + -1d) = 9(d + -4) (2 * 6 + -1d * 6) = 9(d + -4) (12 + -6d) = 9(d + -4) Reorder the terms: 12 + -6d = 9(-4 + d) 12 + -6d = (-4 * 9 + d * 9) 12 + -6d = (-36 + 9d) Solving 12 + -6d = -36 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 12 + -6d + -9d = -36 + 9d + -9d Combine like terms: -6d + -9d = -15d 12 + -15d = -36 + 9d + -9d Combine like terms: 9d + -9d = 0 12 + -15d = -36 + 0 12 + -15d = -36 Add '-12' to each side of the equation. 12 + -12 + -15d = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -15d = -36 + -12 -15d = -36 + -12 Combine like terms: -36 + -12 = -48 -15d = -48 Divide each side by '-15'. d = 3.2 Simplifying d = 3.2
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