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Simplifying 3a + -4 = 2(a + 1) + 8a + 3 Reorder the terms: -4 + 3a = 2(a + 1) + 8a + 3 Reorder the terms: -4 + 3a = 2(1 + a) + 8a + 3 -4 + 3a = (1 * 2 + a * 2) + 8a + 3 -4 + 3a = (2 + 2a) + 8a + 3 Reorder the terms: -4 + 3a = 2 + 3 + 2a + 8a Combine like terms: 2 + 3 = 5 -4 + 3a = 5 + 2a + 8a Combine like terms: 2a + 8a = 10a -4 + 3a = 5 + 10a Solving -4 + 3a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -4 + 3a + -10a = 5 + 10a + -10a Combine like terms: 3a + -10a = -7a -4 + -7a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 -4 + -7a = 5 + 0 -4 + -7a = 5 Add '4' to each side of the equation. -4 + 4 + -7a = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -7a = 5 + 4 -7a = 5 + 4 Combine like terms: 5 + 4 = 9 -7a = 9 Divide each side by '-7'. a = -1.285714286 Simplifying a = -1.285714286
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