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Simplifying 6[d + -8] = 3[14 + -1d] Reorder the terms: 6[-8 + d] = 3[14 + -1d] [-8 * 6 + d * 6] = 3[14 + -1d] [-48 + 6d] = 3[14 + -1d] -48 + 6d = [14 * 3 + -1d * 3] -48 + 6d = [42 + -3d] Solving -48 + 6d = 42 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -48 + 6d + 3d = 42 + -3d + 3d Combine like terms: 6d + 3d = 9d -48 + 9d = 42 + -3d + 3d Combine like terms: -3d + 3d = 0 -48 + 9d = 42 + 0 -48 + 9d = 42 Add '48' to each side of the equation. -48 + 48 + 9d = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 9d = 42 + 48 9d = 42 + 48 Combine like terms: 42 + 48 = 90 9d = 90 Divide each side by '9'. d = 10 Simplifying d = 10
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