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Simplifying 4(5d + -7) = 16 + -2d Reorder the terms: 4(-7 + 5d) = 16 + -2d (-7 * 4 + 5d * 4) = 16 + -2d (-28 + 20d) = 16 + -2d Solving -28 + 20d = 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. -28 + 20d + 2d = 16 + -2d + 2d Combine like terms: 20d + 2d = 22d -28 + 22d = 16 + -2d + 2d Combine like terms: -2d + 2d = 0 -28 + 22d = 16 + 0 -28 + 22d = 16 Add '28' to each side of the equation. -28 + 28 + 22d = 16 + 28 Combine like terms: -28 + 28 = 0 0 + 22d = 16 + 28 22d = 16 + 28 Combine like terms: 16 + 28 = 44 22d = 44 Divide each side by '22'. d = 2 Simplifying d = 2
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