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Simplifying 4a + 12 + -3d = 4a + 5d + -28 Reorder the terms: 12 + 4a + -3d = 4a + 5d + -28 Reorder the terms: 12 + 4a + -3d = -28 + 4a + 5d Add '-4a' to each side of the equation. 12 + 4a + -4a + -3d = -28 + 4a + -4a + 5d Combine like terms: 4a + -4a = 0 12 + 0 + -3d = -28 + 4a + -4a + 5d 12 + -3d = -28 + 4a + -4a + 5d Combine like terms: 4a + -4a = 0 12 + -3d = -28 + 0 + 5d 12 + -3d = -28 + 5d Solving 12 + -3d = -28 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 12 + -3d + -5d = -28 + 5d + -5d Combine like terms: -3d + -5d = -8d 12 + -8d = -28 + 5d + -5d Combine like terms: 5d + -5d = 0 12 + -8d = -28 + 0 12 + -8d = -28 Add '-12' to each side of the equation. 12 + -12 + -8d = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -8d = -28 + -12 -8d = -28 + -12 Combine like terms: -28 + -12 = -40 -8d = -40 Divide each side by '-8'. d = 5 Simplifying d = 5
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