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Simplifying 19 + 8d = 6(7d + 4) Reorder the terms: 19 + 8d = 6(4 + 7d) 19 + 8d = (4 * 6 + 7d * 6) 19 + 8d = (24 + 42d) Solving 19 + 8d = 24 + 42d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-42d' to each side of the equation. 19 + 8d + -42d = 24 + 42d + -42d Combine like terms: 8d + -42d = -34d 19 + -34d = 24 + 42d + -42d Combine like terms: 42d + -42d = 0 19 + -34d = 24 + 0 19 + -34d = 24 Add '-19' to each side of the equation. 19 + -19 + -34d = 24 + -19 Combine like terms: 19 + -19 = 0 0 + -34d = 24 + -19 -34d = 24 + -19 Combine like terms: 24 + -19 = 5 -34d = 5 Divide each side by '-34'. d = -0.1470588235 Simplifying d = -0.1470588235
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