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Simplifying 6(d + -8) = 3(14 + d) Reorder the terms: 6(-8 + d) = 3(14 + d) (-8 * 6 + d * 6) = 3(14 + d) (-48 + 6d) = 3(14 + d) -48 + 6d = (14 * 3 + d * 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 = 3d -48 + 3d = 42 + 3d + -3d Combine like terms: 3d + -3d = 0 -48 + 3d = 42 + 0 -48 + 3d = 42 Add '48' to each side of the equation. -48 + 48 + 3d = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 3d = 42 + 48 3d = 42 + 48 Combine like terms: 42 + 48 = 90 3d = 90 Divide each side by '3'. d = 30 Simplifying d = 30
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