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Simplifying 5d + -1 = -9 + 6d + 2 Reorder the terms: -1 + 5d = -9 + 6d + 2 Reorder the terms: -1 + 5d = -9 + 2 + 6d Combine like terms: -9 + 2 = -7 -1 + 5d = -7 + 6d Solving -1 + 5d = -7 + 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. -1 + 5d + -6d = -7 + 6d + -6d Combine like terms: 5d + -6d = -1d -1 + -1d = -7 + 6d + -6d Combine like terms: 6d + -6d = 0 -1 + -1d = -7 + 0 -1 + -1d = -7 Add '1' to each side of the equation. -1 + 1 + -1d = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -1d = -7 + 1 -1d = -7 + 1 Combine like terms: -7 + 1 = -6 -1d = -6 Divide each side by '-1'. d = 6 Simplifying d = 6
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