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Simplifying -4(3d + 3) = 3(-2d + -15) Reorder the terms: -4(3 + 3d) = 3(-2d + -15) (3 * -4 + 3d * -4) = 3(-2d + -15) (-12 + -12d) = 3(-2d + -15) Reorder the terms: -12 + -12d = 3(-15 + -2d) -12 + -12d = (-15 * 3 + -2d * 3) -12 + -12d = (-45 + -6d) Solving -12 + -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. -12 + -12d + 6d = -45 + -6d + 6d Combine like terms: -12d + 6d = -6d -12 + -6d = -45 + -6d + 6d Combine like terms: -6d + 6d = 0 -12 + -6d = -45 + 0 -12 + -6d = -45 Add '12' to each side of the equation. -12 + 12 + -6d = -45 + 12 Combine like terms: -12 + 12 = 0 0 + -6d = -45 + 12 -6d = -45 + 12 Combine like terms: -45 + 12 = -33 -6d = -33 Divide each side by '-6'. d = 5.5 Simplifying d = 5.5
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