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Simplifying 4d + -5(3d + 10) = 126 Reorder the terms: 4d + -5(10 + 3d) = 126 4d + (10 * -5 + 3d * -5) = 126 4d + (-50 + -15d) = 126 Reorder the terms: -50 + 4d + -15d = 126 Combine like terms: 4d + -15d = -11d -50 + -11d = 126 Solving -50 + -11d = 126 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -11d = 126 + 50 Combine like terms: -50 + 50 = 0 0 + -11d = 126 + 50 -11d = 126 + 50 Combine like terms: 126 + 50 = 176 -11d = 176 Divide each side by '-11'. d = -16 Simplifying d = -16
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