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Simplifying 6(2 + -6) = 9(d + -4) Combine like terms: 2 + -6 = -4 6(-4) = 9(d + -4) Multiply 6 * -4 -24 = 9(d + -4) Reorder the terms: -24 = 9(-4 + d) -24 = (-4 * 9 + d * 9) -24 = (-36 + 9d) Solving -24 = -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. -24 + -9d = -36 + 9d + -9d Combine like terms: 9d + -9d = 0 -24 + -9d = -36 + 0 -24 + -9d = -36 Add '24' to each side of the equation. -24 + 24 + -9d = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -9d = -36 + 24 -9d = -36 + 24 Combine like terms: -36 + 24 = -12 -9d = -12 Divide each side by '-9'. d = 1.333333333 Simplifying d = 1.333333333
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