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Simplifying -20 + -7d + -20 = -5(-5d + -20) + 20 Reorder the terms: -20 + -20 + -7d = -5(-5d + -20) + 20 Combine like terms: -20 + -20 = -40 -40 + -7d = -5(-5d + -20) + 20 Reorder the terms: -40 + -7d = -5(-20 + -5d) + 20 -40 + -7d = (-20 * -5 + -5d * -5) + 20 -40 + -7d = (100 + 25d) + 20 Reorder the terms: -40 + -7d = 100 + 20 + 25d Combine like terms: 100 + 20 = 120 -40 + -7d = 120 + 25d Solving -40 + -7d = 120 + 25d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-25d' to each side of the equation. -40 + -7d + -25d = 120 + 25d + -25d Combine like terms: -7d + -25d = -32d -40 + -32d = 120 + 25d + -25d Combine like terms: 25d + -25d = 0 -40 + -32d = 120 + 0 -40 + -32d = 120 Add '40' to each side of the equation. -40 + 40 + -32d = 120 + 40 Combine like terms: -40 + 40 = 0 0 + -32d = 120 + 40 -32d = 120 + 40 Combine like terms: 120 + 40 = 160 -32d = 160 Divide each side by '-32'. d = -5 Simplifying d = -5
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