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Simplifying 13 + -19d = -4(7d + -19) Reorder the terms: 13 + -19d = -4(-19 + 7d) 13 + -19d = (-19 * -4 + 7d * -4) 13 + -19d = (76 + -28d) Solving 13 + -19d = 76 + -28d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '28d' to each side of the equation. 13 + -19d + 28d = 76 + -28d + 28d Combine like terms: -19d + 28d = 9d 13 + 9d = 76 + -28d + 28d Combine like terms: -28d + 28d = 0 13 + 9d = 76 + 0 13 + 9d = 76 Add '-13' to each side of the equation. 13 + -13 + 9d = 76 + -13 Combine like terms: 13 + -13 = 0 0 + 9d = 76 + -13 9d = 76 + -13 Combine like terms: 76 + -13 = 63 9d = 63 Divide each side by '9'. d = 7 Simplifying d = 7
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