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Simplifying 3a + 3b + 1 = 3d + 3c + 1 Reorder the terms: 1 + 3a + 3b = 3d + 3c + 1 Reorder the terms: 1 + 3a + 3b = 1 + 3c + 3d Add '-1' to each side of the equation. 1 + 3a + -1 + 3b = 1 + 3c + -1 + 3d Reorder the terms: 1 + -1 + 3a + 3b = 1 + 3c + -1 + 3d Combine like terms: 1 + -1 = 0 0 + 3a + 3b = 1 + 3c + -1 + 3d 3a + 3b = 1 + 3c + -1 + 3d Reorder the terms: 3a + 3b = 1 + -1 + 3c + 3d Combine like terms: 1 + -1 = 0 3a + 3b = 0 + 3c + 3d 3a + 3b = 3c + 3d Solving 3a + 3b = 3c + 3d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3a + 3b + -3b = 3c + -3b + 3d Combine like terms: 3b + -3b = 0 3a + 0 = 3c + -3b + 3d 3a = 3c + -3b + 3d Reorder the terms: 3a = -3b + 3c + 3d Divide each side by '3'. a = -1b + c + d Simplifying a = -1b + c + d
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