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Simplifying (3x2 + -15d) + -1(-10x2 + -4d) = 0 Reorder the terms: (-15d + 3x2) + -1(-10x2 + -4d) = 0 Remove parenthesis around (-15d + 3x2) -15d + 3x2 + -1(-10x2 + -4d) = 0 Reorder the terms: -15d + 3x2 + -1(-4d + -10x2) = 0 -15d + 3x2 + (-4d * -1 + -10x2 * -1) = 0 -15d + 3x2 + (4d + 10x2) = 0 Reorder the terms: -15d + 4d + 3x2 + 10x2 = 0 Combine like terms: -15d + 4d = -11d -11d + 3x2 + 10x2 = 0 Combine like terms: 3x2 + 10x2 = 13x2 -11d + 13x2 = 0 Solving -11d + 13x2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13x2' to each side of the equation. -11d + 13x2 + -13x2 = 0 + -13x2 Combine like terms: 13x2 + -13x2 = 0 -11d + 0 = 0 + -13x2 -11d = 0 + -13x2 Remove the zero: -11d = -13x2 Divide each side by '-11'. d = 1.181818182x2 Simplifying d = 1.181818182x2
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