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Simplifying 5 * 2d + -7 = 6d + 13 Multiply 5 * 2 10d + -7 = 6d + 13 Reorder the terms: -7 + 10d = 6d + 13 Reorder the terms: -7 + 10d = 13 + 6d Solving -7 + 10d = 13 + 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. -7 + 10d + -6d = 13 + 6d + -6d Combine like terms: 10d + -6d = 4d -7 + 4d = 13 + 6d + -6d Combine like terms: 6d + -6d = 0 -7 + 4d = 13 + 0 -7 + 4d = 13 Add '7' to each side of the equation. -7 + 7 + 4d = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4d = 13 + 7 4d = 13 + 7 Combine like terms: 13 + 7 = 20 4d = 20 Divide each side by '4'. d = 5 Simplifying d = 5
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