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Simplifying -4(d + 2) = 2d + 16 Reorder the terms: -4(2 + d) = 2d + 16 (2 * -4 + d * -4) = 2d + 16 (-8 + -4d) = 2d + 16 Reorder the terms: -8 + -4d = 16 + 2d Solving -8 + -4d = 16 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -8 + -4d + -2d = 16 + 2d + -2d Combine like terms: -4d + -2d = -6d -8 + -6d = 16 + 2d + -2d Combine like terms: 2d + -2d = 0 -8 + -6d = 16 + 0 -8 + -6d = 16 Add '8' to each side of the equation. -8 + 8 + -6d = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -6d = 16 + 8 -6d = 16 + 8 Combine like terms: 16 + 8 = 24 -6d = 24 Divide each side by '-6'. d = -4 Simplifying d = -4
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