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Simplifying d + -5 = -3(2d + -3) Reorder the terms: -5 + d = -3(2d + -3) Reorder the terms: -5 + d = -3(-3 + 2d) -5 + d = (-3 * -3 + 2d * -3) -5 + d = (9 + -6d) Solving -5 + d = 9 + -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. -5 + d + 6d = 9 + -6d + 6d Combine like terms: d + 6d = 7d -5 + 7d = 9 + -6d + 6d Combine like terms: -6d + 6d = 0 -5 + 7d = 9 + 0 -5 + 7d = 9 Add '5' to each side of the equation. -5 + 5 + 7d = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7d = 9 + 5 7d = 9 + 5 Combine like terms: 9 + 5 = 14 7d = 14 Divide each side by '7'. d = 2 Simplifying d = 2
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