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Simplifying 42 + -10d = 44 + -12d Solving 42 + -10d = 44 + -12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. 42 + -10d + 12d = 44 + -12d + 12d Combine like terms: -10d + 12d = 2d 42 + 2d = 44 + -12d + 12d Combine like terms: -12d + 12d = 0 42 + 2d = 44 + 0 42 + 2d = 44 Add '-42' to each side of the equation. 42 + -42 + 2d = 44 + -42 Combine like terms: 42 + -42 = 0 0 + 2d = 44 + -42 2d = 44 + -42 Combine like terms: 44 + -42 = 2 2d = 2 Divide each side by '2'. d = 1 Simplifying d = 1
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