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Simplifying 4a + -3 = 3(a + 1) + 8a + 4 Reorder the terms: -3 + 4a = 3(a + 1) + 8a + 4 Reorder the terms: -3 + 4a = 3(1 + a) + 8a + 4 -3 + 4a = (1 * 3 + a * 3) + 8a + 4 -3 + 4a = (3 + 3a) + 8a + 4 Reorder the terms: -3 + 4a = 3 + 4 + 3a + 8a Combine like terms: 3 + 4 = 7 -3 + 4a = 7 + 3a + 8a Combine like terms: 3a + 8a = 11a -3 + 4a = 7 + 11a Solving -3 + 4a = 7 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -3 + 4a + -11a = 7 + 11a + -11a Combine like terms: 4a + -11a = -7a -3 + -7a = 7 + 11a + -11a Combine like terms: 11a + -11a = 0 -3 + -7a = 7 + 0 -3 + -7a = 7 Add '3' to each side of the equation. -3 + 3 + -7a = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -7a = 7 + 3 -7a = 7 + 3 Combine like terms: 7 + 3 = 10 -7a = 10 Divide each side by '-7'. a = -1.428571429 Simplifying a = -1.428571429
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