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Simplifying 4(3d + -2) + -2d = 6d + -6 Reorder the terms: 4(-2 + 3d) + -2d = 6d + -6 (-2 * 4 + 3d * 4) + -2d = 6d + -6 (-8 + 12d) + -2d = 6d + -6 Combine like terms: 12d + -2d = 10d -8 + 10d = 6d + -6 Reorder the terms: -8 + 10d = -6 + 6d Solving -8 + 10d = -6 + 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. -8 + 10d + -6d = -6 + 6d + -6d Combine like terms: 10d + -6d = 4d -8 + 4d = -6 + 6d + -6d Combine like terms: 6d + -6d = 0 -8 + 4d = -6 + 0 -8 + 4d = -6 Add '8' to each side of the equation. -8 + 8 + 4d = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 4d = -6 + 8 4d = -6 + 8 Combine like terms: -6 + 8 = 2 4d = 2 Divide each side by '4'. d = 0.5 Simplifying d = 0.5
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