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Simplifying 7d + -4 = 10d + -23 Reorder the terms: -4 + 7d = 10d + -23 Reorder the terms: -4 + 7d = -23 + 10d Solving -4 + 7d = -23 + 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. -4 + 7d + -10d = -23 + 10d + -10d Combine like terms: 7d + -10d = -3d -4 + -3d = -23 + 10d + -10d Combine like terms: 10d + -10d = 0 -4 + -3d = -23 + 0 -4 + -3d = -23 Add '4' to each side of the equation. -4 + 4 + -3d = -23 + 4 Combine like terms: -4 + 4 = 0 0 + -3d = -23 + 4 -3d = -23 + 4 Combine like terms: -23 + 4 = -19 -3d = -19 Divide each side by '-3'. d = 6.333333333 Simplifying d = 6.333333333
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