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Simplifying (3x + -15d) + -1(-10x + -4d) = 0 Reorder the terms: (-15d + 3x) + -1(-10x + -4d) = 0 Remove parenthesis around (-15d + 3x) -15d + 3x + -1(-10x + -4d) = 0 Reorder the terms: -15d + 3x + -1(-4d + -10x) = 0 -15d + 3x + (-4d * -1 + -10x * -1) = 0 -15d + 3x + (4d + 10x) = 0 Reorder the terms: -15d + 4d + 3x + 10x = 0 Combine like terms: -15d + 4d = -11d -11d + 3x + 10x = 0 Combine like terms: 3x + 10x = 13x -11d + 13x = 0 Solving -11d + 13x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13x' to each side of the equation. -11d + 13x + -13x = 0 + -13x Combine like terms: 13x + -13x = 0 -11d + 0 = 0 + -13x -11d = 0 + -13x Remove the zero: -11d = -13x Divide each side by '-11'. d = 1.181818182x Simplifying d = 1.181818182x
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