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Simplifying 4a + -5 = 3(a + 1) + 8a + 1 Reorder the terms: -5 + 4a = 3(a + 1) + 8a + 1 Reorder the terms: -5 + 4a = 3(1 + a) + 8a + 1 -5 + 4a = (1 * 3 + a * 3) + 8a + 1 -5 + 4a = (3 + 3a) + 8a + 1 Reorder the terms: -5 + 4a = 3 + 1 + 3a + 8a Combine like terms: 3 + 1 = 4 -5 + 4a = 4 + 3a + 8a Combine like terms: 3a + 8a = 11a -5 + 4a = 4 + 11a Solving -5 + 4a = 4 + 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. -5 + 4a + -11a = 4 + 11a + -11a Combine like terms: 4a + -11a = -7a -5 + -7a = 4 + 11a + -11a Combine like terms: 11a + -11a = 0 -5 + -7a = 4 + 0 -5 + -7a = 4 Add '5' to each side of the equation. -5 + 5 + -7a = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -7a = 4 + 5 -7a = 4 + 5 Combine like terms: 4 + 5 = 9 -7a = 9 Divide each side by '-7'. a = -1.285714286 Simplifying a = -1.285714286
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