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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 Solving 19 + -8a = -19 + 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. 19 + -8a + -4a = -19 + 4a + -4a Combine like terms: -8a + -4a = -12a 19 + -12a = -19 + 4a + -4a Combine like terms: 4a + -4a = 0 19 + -12a = -19 + 0 19 + -12a = -19 Add '-19' to each side of the equation. 19 + -19 + -12a = -19 + -19 Combine like terms: 19 + -19 = 0 0 + -12a = -19 + -19 -12a = -19 + -19 Combine like terms: -19 + -19 = -38 -12a = -38 Divide each side by '-12'. a = 3.166666667 Simplifying a = 3.166666667
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