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Simplifying 0.3(15d + 3) + -0.5(8 + -10d) = 0 Reorder the terms: 0.3(3 + 15d) + -0.5(8 + -10d) = 0 (3 * 0.3 + 15d * 0.3) + -0.5(8 + -10d) = 0 (0.9 + 4.5d) + -0.5(8 + -10d) = 0 0.9 + 4.5d + (8 * -0.5 + -10d * -0.5) = 0 0.9 + 4.5d + (-4 + 5d) = 0 Reorder the terms: 0.9 + -4 + 4.5d + 5d = 0 Combine like terms: 0.9 + -4 = -3.1 -3.1 + 4.5d + 5d = 0 Combine like terms: 4.5d + 5d = 9.5d -3.1 + 9.5d = 0 Solving -3.1 + 9.5d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3.1' to each side of the equation. -3.1 + 3.1 + 9.5d = 0 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 9.5d = 0 + 3.1 9.5d = 0 + 3.1 Combine like terms: 0 + 3.1 = 3.1 9.5d = 3.1 Divide each side by '9.5'. d = 0.3263157895 Simplifying d = 0.3263157895
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