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Simplifying 6d + 2(d + -13) = d(5 + -5) Reorder the terms: 6d + 2(-13 + d) = d(5 + -5) 6d + (-13 * 2 + d * 2) = d(5 + -5) 6d + (-26 + 2d) = d(5 + -5) Reorder the terms: -26 + 6d + 2d = d(5 + -5) Combine like terms: 6d + 2d = 8d -26 + 8d = d(5 + -5) Combine like terms: 5 + -5 = 0 -26 + 8d = d(0) Reorder the terms for easier multiplication: -26 + 8d = 0d Anything times zero is zero. -26 + 8d = 0d Solving -26 + 8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 8d = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 8d = 0 + 26 8d = 0 + 26 Combine like terms: 0 + 26 = 26 8d = 26 Divide each side by '8'. d = 3.25 Simplifying d = 3.25
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