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Simplifying -15d + -6(13d + 4) = 9(-1d + 16) Reorder the terms: -15d + -6(4 + 13d) = 9(-1d + 16) -15d + (4 * -6 + 13d * -6) = 9(-1d + 16) -15d + (-24 + -78d) = 9(-1d + 16) Reorder the terms: -24 + -15d + -78d = 9(-1d + 16) Combine like terms: -15d + -78d = -93d -24 + -93d = 9(-1d + 16) Reorder the terms: -24 + -93d = 9(16 + -1d) -24 + -93d = (16 * 9 + -1d * 9) -24 + -93d = (144 + -9d) Solving -24 + -93d = 144 + -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 + -93d + 9d = 144 + -9d + 9d Combine like terms: -93d + 9d = -84d -24 + -84d = 144 + -9d + 9d Combine like terms: -9d + 9d = 0 -24 + -84d = 144 + 0 -24 + -84d = 144 Add '24' to each side of the equation. -24 + 24 + -84d = 144 + 24 Combine like terms: -24 + 24 = 0 0 + -84d = 144 + 24 -84d = 144 + 24 Combine like terms: 144 + 24 = 168 -84d = 168 Divide each side by '-84'. d = -2 Simplifying d = -2
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