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Simplifying 7d + -2(3 + 4d) = 19 7d + (3 * -2 + 4d * -2) = 19 7d + (-6 + -8d) = 19 Reorder the terms: -6 + 7d + -8d = 19 Combine like terms: 7d + -8d = -1d -6 + -1d = 19 Solving -6 + -1d = 19 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1d = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -1d = 19 + 6 -1d = 19 + 6 Combine like terms: 19 + 6 = 25 -1d = 25 Divide each side by '-1'. d = -25 Simplifying d = -25
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