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Simplifying 19 + -19d + 19 = -3(4d + 19) + 18d Reorder the terms: 19 + 19 + -19d = -3(4d + 19) + 18d Combine like terms: 19 + 19 = 38 38 + -19d = -3(4d + 19) + 18d Reorder the terms: 38 + -19d = -3(19 + 4d) + 18d 38 + -19d = (19 * -3 + 4d * -3) + 18d 38 + -19d = (-57 + -12d) + 18d Combine like terms: -12d + 18d = 6d 38 + -19d = -57 + 6d Solving 38 + -19d = -57 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 38 + -19d + -6d = -57 + 6d + -6d Combine like terms: -19d + -6d = -25d 38 + -25d = -57 + 6d + -6d Combine like terms: 6d + -6d = 0 38 + -25d = -57 + 0 38 + -25d = -57 Add '-38' to each side of the equation. 38 + -38 + -25d = -57 + -38 Combine like terms: 38 + -38 = 0 0 + -25d = -57 + -38 -25d = -57 + -38 Combine like terms: -57 + -38 = -95 -25d = -95 Divide each side by '-25'. d = 3.8 Simplifying d = 3.8
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