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Simplifying -5d + 19 + -4d = -6(4d + 19) + -4d Reorder the terms: 19 + -5d + -4d = -6(4d + 19) + -4d Combine like terms: -5d + -4d = -9d 19 + -9d = -6(4d + 19) + -4d Reorder the terms: 19 + -9d = -6(19 + 4d) + -4d 19 + -9d = (19 * -6 + 4d * -6) + -4d 19 + -9d = (-114 + -24d) + -4d Combine like terms: -24d + -4d = -28d 19 + -9d = -114 + -28d Solving 19 + -9d = -114 + -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. 19 + -9d + 28d = -114 + -28d + 28d Combine like terms: -9d + 28d = 19d 19 + 19d = -114 + -28d + 28d Combine like terms: -28d + 28d = 0 19 + 19d = -114 + 0 19 + 19d = -114 Add '-19' to each side of the equation. 19 + -19 + 19d = -114 + -19 Combine like terms: 19 + -19 = 0 0 + 19d = -114 + -19 19d = -114 + -19 Combine like terms: -114 + -19 = -133 19d = -133 Divide each side by '19'. d = -7 Simplifying d = -7
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