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Simplifying 4(d + -2) + 3(d + 1) = 0 Reorder the terms: 4(-2 + d) + 3(d + 1) = 0 (-2 * 4 + d * 4) + 3(d + 1) = 0 (-8 + 4d) + 3(d + 1) = 0 Reorder the terms: -8 + 4d + 3(1 + d) = 0 -8 + 4d + (1 * 3 + d * 3) = 0 -8 + 4d + (3 + 3d) = 0 Reorder the terms: -8 + 3 + 4d + 3d = 0 Combine like terms: -8 + 3 = -5 -5 + 4d + 3d = 0 Combine like terms: 4d + 3d = 7d -5 + 7d = 0 Solving -5 + 7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7d = 0 + 5 7d = 0 + 5 Combine like terms: 0 + 5 = 5 7d = 5 Divide each side by '7'. d = 0.7142857143 Simplifying d = 0.7142857143
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