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Simplifying 7d + 3 = 2(d + -6) Reorder the terms: 3 + 7d = 2(d + -6) Reorder the terms: 3 + 7d = 2(-6 + d) 3 + 7d = (-6 * 2 + d * 2) 3 + 7d = (-12 + 2d) Solving 3 + 7d = -12 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 3 + 7d + -2d = -12 + 2d + -2d Combine like terms: 7d + -2d = 5d 3 + 5d = -12 + 2d + -2d Combine like terms: 2d + -2d = 0 3 + 5d = -12 + 0 3 + 5d = -12 Add '-3' to each side of the equation. 3 + -3 + 5d = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 5d = -12 + -3 5d = -12 + -3 Combine like terms: -12 + -3 = -15 5d = -15 Divide each side by '5'. d = -3 Simplifying d = -3
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