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Simplifying 5(7 + -1a) + -3(a + 4) + -4 = 4(a + 3) + 7 (7 * 5 + -1a * 5) + -3(a + 4) + -4 = 4(a + 3) + 7 (35 + -5a) + -3(a + 4) + -4 = 4(a + 3) + 7 Reorder the terms: 35 + -5a + -3(4 + a) + -4 = 4(a + 3) + 7 35 + -5a + (4 * -3 + a * -3) + -4 = 4(a + 3) + 7 35 + -5a + (-12 + -3a) + -4 = 4(a + 3) + 7 Reorder the terms: 35 + -12 + -4 + -5a + -3a = 4(a + 3) + 7 Combine like terms: 35 + -12 = 23 23 + -4 + -5a + -3a = 4(a + 3) + 7 Combine like terms: 23 + -4 = 19 19 + -5a + -3a = 4(a + 3) + 7 Combine like terms: -5a + -3a = -8a 19 + -8a = 4(a + 3) + 7 Reorder the terms: 19 + -8a = 4(3 + a) + 7 19 + -8a = (3 * 4 + a * 4) + 7 19 + -8a = (12 + 4a) + 7 Reorder the terms: 19 + -8a = 12 + 7 + 4a Combine like terms: 12 + 7 = 19 19 + -8a = 19 + 4a Add '-19' to each side of the equation. 19 + -19 + -8a = 19 + -19 + 4a Combine like terms: 19 + -19 = 0 0 + -8a = 19 + -19 + 4a -8a = 19 + -19 + 4a Combine like terms: 19 + -19 = 0 -8a = 0 + 4a -8a = 4a Solving -8a = 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -8a + -4a = 4a + -4a Combine like terms: -8a + -4a = -12a -12a = 4a + -4a Combine like terms: 4a + -4a = 0 -12a = 0 Divide each side by '-12'. a = 0 Simplifying a = 0
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