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Simplifying -2(3d + -5) + 3 = 55 Reorder the terms: -2(-5 + 3d) + 3 = 55 (-5 * -2 + 3d * -2) + 3 = 55 (10 + -6d) + 3 = 55 Reorder the terms: 10 + 3 + -6d = 55 Combine like terms: 10 + 3 = 13 13 + -6d = 55 Solving 13 + -6d = 55 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6d = 55 + -13 Combine like terms: 13 + -13 = 0 0 + -6d = 55 + -13 -6d = 55 + -13 Combine like terms: 55 + -13 = 42 -6d = 42 Divide each side by '-6'. d = -7 Simplifying d = -7
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