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Simplifying 10(d + -2) = 6(d + 4) Reorder the terms: 10(-2 + d) = 6(d + 4) (-2 * 10 + d * 10) = 6(d + 4) (-20 + 10d) = 6(d + 4) Reorder the terms: -20 + 10d = 6(4 + d) -20 + 10d = (4 * 6 + d * 6) -20 + 10d = (24 + 6d) Solving -20 + 10d = 24 + 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. -20 + 10d + -6d = 24 + 6d + -6d Combine like terms: 10d + -6d = 4d -20 + 4d = 24 + 6d + -6d Combine like terms: 6d + -6d = 0 -20 + 4d = 24 + 0 -20 + 4d = 24 Add '20' to each side of the equation. -20 + 20 + 4d = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 4d = 24 + 20 4d = 24 + 20 Combine like terms: 24 + 20 = 44 4d = 44 Divide each side by '4'. d = 11 Simplifying d = 11
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