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Simplifying 4(d + -1) + -3(d + 2) = -6 Reorder the terms: 4(-1 + d) + -3(d + 2) = -6 (-1 * 4 + d * 4) + -3(d + 2) = -6 (-4 + 4d) + -3(d + 2) = -6 Reorder the terms: -4 + 4d + -3(2 + d) = -6 -4 + 4d + (2 * -3 + d * -3) = -6 -4 + 4d + (-6 + -3d) = -6 Reorder the terms: -4 + -6 + 4d + -3d = -6 Combine like terms: -4 + -6 = -10 -10 + 4d + -3d = -6 Combine like terms: 4d + -3d = 1d -10 + 1d = -6 Solving -10 + 1d = -6 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1d = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 1d = -6 + 10 1d = -6 + 10 Combine like terms: -6 + 10 = 4 1d = 4 Divide each side by '1'. d = 4 Simplifying d = 4
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