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Simplifying 4(7x + a) + 12 = 44 Reorder the terms: 4(a + 7x) + 12 = 44 (a * 4 + 7x * 4) + 12 = 44 (4a + 28x) + 12 = 44 Reorder the terms: 12 + 4a + 28x = 44 Solving 12 + 4a + 28x = 44 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4a + -12 + 28x = 44 + -12 Reorder the terms: 12 + -12 + 4a + 28x = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 4a + 28x = 44 + -12 4a + 28x = 44 + -12 Combine like terms: 44 + -12 = 32 4a + 28x = 32 Add '-28x' to each side of the equation. 4a + 28x + -28x = 32 + -28x Combine like terms: 28x + -28x = 0 4a + 0 = 32 + -28x 4a = 32 + -28x Divide each side by '4'. a = 8 + -7x Simplifying a = 8 + -7x
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