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Simplifying d + 3 = 7(d + -3) Reorder the terms: 3 + d = 7(d + -3) Reorder the terms: 3 + d = 7(-3 + d) 3 + d = (-3 * 7 + d * 7) 3 + d = (-21 + 7d) Solving 3 + d = -21 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 3 + d + -7d = -21 + 7d + -7d Combine like terms: d + -7d = -6d 3 + -6d = -21 + 7d + -7d Combine like terms: 7d + -7d = 0 3 + -6d = -21 + 0 3 + -6d = -21 Add '-3' to each side of the equation. 3 + -3 + -6d = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -6d = -21 + -3 -6d = -21 + -3 Combine like terms: -21 + -3 = -24 -6d = -24 Divide each side by '-6'. d = 4 Simplifying d = 4
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