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Simplifying 4(-1d + -7) = 2(9 + -7d) Reorder the terms: 4(-7 + -1d) = 2(9 + -7d) (-7 * 4 + -1d * 4) = 2(9 + -7d) (-28 + -4d) = 2(9 + -7d) -28 + -4d = (9 * 2 + -7d * 2) -28 + -4d = (18 + -14d) Solving -28 + -4d = 18 + -14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14d' to each side of the equation. -28 + -4d + 14d = 18 + -14d + 14d Combine like terms: -4d + 14d = 10d -28 + 10d = 18 + -14d + 14d Combine like terms: -14d + 14d = 0 -28 + 10d = 18 + 0 -28 + 10d = 18 Add '28' to each side of the equation. -28 + 28 + 10d = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 10d = 18 + 28 10d = 18 + 28 Combine like terms: 18 + 28 = 46 10d = 46 Divide each side by '10'. d = 4.6 Simplifying d = 4.6
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