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Simplifying -2(2d + 5) = 10 + 6d Reorder the terms: -2(5 + 2d) = 10 + 6d (5 * -2 + 2d * -2) = 10 + 6d (-10 + -4d) = 10 + 6d Solving -10 + -4d = 10 + 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. -10 + -4d + -6d = 10 + 6d + -6d Combine like terms: -4d + -6d = -10d -10 + -10d = 10 + 6d + -6d Combine like terms: 6d + -6d = 0 -10 + -10d = 10 + 0 -10 + -10d = 10 Add '10' to each side of the equation. -10 + 10 + -10d = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -10d = 10 + 10 -10d = 10 + 10 Combine like terms: 10 + 10 = 20 -10d = 20 Divide each side by '-10'. d = -2 Simplifying d = -2
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