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Simplifying 6d + -61 = 10d + -33 Reorder the terms: -61 + 6d = 10d + -33 Reorder the terms: -61 + 6d = -33 + 10d Solving -61 + 6d = -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. -61 + 6d + -10d = -33 + 10d + -10d Combine like terms: 6d + -10d = -4d -61 + -4d = -33 + 10d + -10d Combine like terms: 10d + -10d = 0 -61 + -4d = -33 + 0 -61 + -4d = -33 Add '61' to each side of the equation. -61 + 61 + -4d = -33 + 61 Combine like terms: -61 + 61 = 0 0 + -4d = -33 + 61 -4d = -33 + 61 Combine like terms: -33 + 61 = 28 -4d = 28 Divide each side by '-4'. d = -7 Simplifying d = -7
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