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Simplifying 3d + 4d + -5 = 6d + 7d + 7 Reorder the terms: -5 + 3d + 4d = 6d + 7d + 7 Combine like terms: 3d + 4d = 7d -5 + 7d = 6d + 7d + 7 Reorder the terms: -5 + 7d = 7 + 6d + 7d Combine like terms: 6d + 7d = 13d -5 + 7d = 7 + 13d Solving -5 + 7d = 7 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. -5 + 7d + -13d = 7 + 13d + -13d Combine like terms: 7d + -13d = -6d -5 + -6d = 7 + 13d + -13d Combine like terms: 13d + -13d = 0 -5 + -6d = 7 + 0 -5 + -6d = 7 Add '5' to each side of the equation. -5 + 5 + -6d = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6d = 7 + 5 -6d = 7 + 5 Combine like terms: 7 + 5 = 12 -6d = 12 Divide each side by '-6'. d = -2 Simplifying d = -2
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