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Simplifying 9(3d + -4) + -18d = 15d Reorder the terms: 9(-4 + 3d) + -18d = 15d (-4 * 9 + 3d * 9) + -18d = 15d (-36 + 27d) + -18d = 15d Combine like terms: 27d + -18d = 9d -36 + 9d = 15d Solving -36 + 9d = 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. -36 + 9d + -15d = 15d + -15d Combine like terms: 9d + -15d = -6d -36 + -6d = 15d + -15d Combine like terms: 15d + -15d = 0 -36 + -6d = 0 Add '36' to each side of the equation. -36 + 36 + -6d = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -6d = 0 + 36 -6d = 0 + 36 Combine like terms: 0 + 36 = 36 -6d = 36 Divide each side by '-6'. d = -6 Simplifying d = -6
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