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Simplifying -4(3(d) + 3) + 3 = 3(-2(d) + -15) Reorder the terms: -4(3 + 3d) + 3 = 3(-2(d) + -15) (3 * -4 + 3d * -4) + 3 = 3(-2(d) + -15) (-12 + -12d) + 3 = 3(-2(d) + -15) Reorder the terms: -12 + 3 + -12d = 3(-2(d) + -15) Combine like terms: -12 + 3 = -9 -9 + -12d = 3(-2(d) + -15) Reorder the terms: -9 + -12d = 3(-15 + -2d) -9 + -12d = (-15 * 3 + -2d * 3) -9 + -12d = (-45 + -6d) Solving -9 + -12d = -45 + -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. -9 + -12d + 6d = -45 + -6d + 6d Combine like terms: -12d + 6d = -6d -9 + -6d = -45 + -6d + 6d Combine like terms: -6d + 6d = 0 -9 + -6d = -45 + 0 -9 + -6d = -45 Add '9' to each side of the equation. -9 + 9 + -6d = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -6d = -45 + 9 -6d = -45 + 9 Combine like terms: -45 + 9 = -36 -6d = -36 Divide each side by '-6'. d = 6 Simplifying d = 6
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