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Simplifying 6(d + -4) + (d + -9) = 0 Reorder the terms: 6(-4 + d) + (d + -9) = 0 (-4 * 6 + d * 6) + (d + -9) = 0 (-24 + 6d) + (d + -9) = 0 Reorder the terms: -24 + 6d + (-9 + d) = 0 Remove parenthesis around (-9 + d) -24 + 6d + -9 + d = 0 Reorder the terms: -24 + -9 + 6d + d = 0 Combine like terms: -24 + -9 = -33 -33 + 6d + d = 0 Combine like terms: 6d + d = 7d -33 + 7d = 0 Solving -33 + 7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 7d = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 7d = 0 + 33 7d = 0 + 33 Combine like terms: 0 + 33 = 33 7d = 33 Divide each side by '7'. d = 4.714285714 Simplifying d = 4.714285714
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