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Simplifying -22 = 3 + 5(d + -9) Reorder the terms: -22 = 3 + 5(-9 + d) -22 = 3 + (-9 * 5 + d * 5) -22 = 3 + (-45 + 5d) Combine like terms: 3 + -45 = -42 -22 = -42 + 5d Solving -22 = -42 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -22 + -5d = -42 + 5d + -5d Combine like terms: 5d + -5d = 0 -22 + -5d = -42 + 0 -22 + -5d = -42 Add '22' to each side of the equation. -22 + 22 + -5d = -42 + 22 Combine like terms: -22 + 22 = 0 0 + -5d = -42 + 22 -5d = -42 + 22 Combine like terms: -42 + 22 = -20 -5d = -20 Divide each side by '-5'. d = 4 Simplifying d = 4
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