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Simplifying 9d + 2x * 0.375 + -1(-6x * 0.375) + 3d + -15d = 0 Reorder the terms for easier multiplication: 9d + 2 * 0.375x + -1(-6x * 0.375) + 3d + -15d = 0 Multiply 2 * 0.375 9d + 0.75x + -1(-6x * 0.375) + 3d + -15d = 0 Reorder the terms for easier multiplication: 9d + 0.75x + -1(-6 * 0.375x) + 3d + -15d = 0 Multiply -6 * 0.375 9d + 0.75x + -1(-2.25x) + 3d + -15d = 0 Remove parenthesis around (-2.25x) 9d + 0.75x + -1 * -2.25x + 3d + -15d = 0 Multiply -1 * -2.25 9d + 0.75x + 2.25x + 3d + -15d = 0 Reorder the terms: 9d + 3d + -15d + 0.75x + 2.25x = 0 Combine like terms: 9d + 3d = 12d 12d + -15d + 0.75x + 2.25x = 0 Combine like terms: 12d + -15d = -3d -3d + 0.75x + 2.25x = 0 Combine like terms: 0.75x + 2.25x = 3x -3d + 3x = 0 Solving -3d + 3x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. -3d + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -3d + 0 = 0 + -3x -3d = 0 + -3x Remove the zero: -3d = -3x Divide each side by '-3'. d = x Simplifying d = x
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