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Simplifying d + 6 = 5(d + -2) Reorder the terms: 6 + d = 5(d + -2) Reorder the terms: 6 + d = 5(-2 + d) 6 + d = (-2 * 5 + d * 5) 6 + d = (-10 + 5d) Solving 6 + d = -10 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + d + -5d = -10 + 5d + -5d Combine like terms: d + -5d = -4d 6 + -4d = -10 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + -4d = -10 + 0 6 + -4d = -10 Add '-6' to each side of the equation. 6 + -6 + -4d = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4d = -10 + -6 -4d = -10 + -6 Combine like terms: -10 + -6 = -16 -4d = -16 Divide each side by '-4'. d = 4 Simplifying d = 4
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