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Simplifying 3(d + -5) + 6 = -4d + 5 Reorder the terms: 3(-5 + d) + 6 = -4d + 5 (-5 * 3 + d * 3) + 6 = -4d + 5 (-15 + 3d) + 6 = -4d + 5 Reorder the terms: -15 + 6 + 3d = -4d + 5 Combine like terms: -15 + 6 = -9 -9 + 3d = -4d + 5 Reorder the terms: -9 + 3d = 5 + -4d Solving -9 + 3d = 5 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -9 + 3d + 4d = 5 + -4d + 4d Combine like terms: 3d + 4d = 7d -9 + 7d = 5 + -4d + 4d Combine like terms: -4d + 4d = 0 -9 + 7d = 5 + 0 -9 + 7d = 5 Add '9' to each side of the equation. -9 + 9 + 7d = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 7d = 5 + 9 7d = 5 + 9 Combine like terms: 5 + 9 = 14 7d = 14 Divide each side by '7'. d = 2 Simplifying d = 2
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