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Simplifying 3(-4d + -1) + -9d = 6(4 + -1d) + 3 Reorder the terms: 3(-1 + -4d) + -9d = 6(4 + -1d) + 3 (-1 * 3 + -4d * 3) + -9d = 6(4 + -1d) + 3 (-3 + -12d) + -9d = 6(4 + -1d) + 3 Combine like terms: -12d + -9d = -21d -3 + -21d = 6(4 + -1d) + 3 -3 + -21d = (4 * 6 + -1d * 6) + 3 -3 + -21d = (24 + -6d) + 3 Reorder the terms: -3 + -21d = 24 + 3 + -6d Combine like terms: 24 + 3 = 27 -3 + -21d = 27 + -6d Solving -3 + -21d = 27 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. -3 + -21d + 6d = 27 + -6d + 6d Combine like terms: -21d + 6d = -15d -3 + -15d = 27 + -6d + 6d Combine like terms: -6d + 6d = 0 -3 + -15d = 27 + 0 -3 + -15d = 27 Add '3' to each side of the equation. -3 + 3 + -15d = 27 + 3 Combine like terms: -3 + 3 = 0 0 + -15d = 27 + 3 -15d = 27 + 3 Combine like terms: 27 + 3 = 30 -15d = 30 Divide each side by '-15'. d = -2 Simplifying d = -2
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