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Simplifying 3(6d + -7) = 15d + 3 Reorder the terms: 3(-7 + 6d) = 15d + 3 (-7 * 3 + 6d * 3) = 15d + 3 (-21 + 18d) = 15d + 3 Reorder the terms: -21 + 18d = 3 + 15d Solving -21 + 18d = 3 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. -21 + 18d + -15d = 3 + 15d + -15d Combine like terms: 18d + -15d = 3d -21 + 3d = 3 + 15d + -15d Combine like terms: 15d + -15d = 0 -21 + 3d = 3 + 0 -21 + 3d = 3 Add '21' to each side of the equation. -21 + 21 + 3d = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3d = 3 + 21 3d = 3 + 21 Combine like terms: 3 + 21 = 24 3d = 24 Divide each side by '3'. d = 8 Simplifying d = 8
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