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Simplifying 4d + 15 = 10d + -33 Reorder the terms: 15 + 4d = 10d + -33 Reorder the terms: 15 + 4d = -33 + 10d Solving 15 + 4d = -33 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 15 + 4d + -10d = -33 + 10d + -10d Combine like terms: 4d + -10d = -6d 15 + -6d = -33 + 10d + -10d Combine like terms: 10d + -10d = 0 15 + -6d = -33 + 0 15 + -6d = -33 Add '-15' to each side of the equation. 15 + -15 + -6d = -33 + -15 Combine like terms: 15 + -15 = 0 0 + -6d = -33 + -15 -6d = -33 + -15 Combine like terms: -33 + -15 = -48 -6d = -48 Divide each side by '-6'. d = 8 Simplifying d = 8
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