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Simplifying -19 + 4d = -3(3d + 2) Reorder the terms: -19 + 4d = -3(2 + 3d) -19 + 4d = (2 * -3 + 3d * -3) -19 + 4d = (-6 + -9d) Solving -19 + 4d = -6 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -19 + 4d + 9d = -6 + -9d + 9d Combine like terms: 4d + 9d = 13d -19 + 13d = -6 + -9d + 9d Combine like terms: -9d + 9d = 0 -19 + 13d = -6 + 0 -19 + 13d = -6 Add '19' to each side of the equation. -19 + 19 + 13d = -6 + 19 Combine like terms: -19 + 19 = 0 0 + 13d = -6 + 19 13d = -6 + 19 Combine like terms: -6 + 19 = 13 13d = 13 Divide each side by '13'. d = 1 Simplifying d = 1
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