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Simplifying 5a + -2 = 3(a + 1) + 9a + 4 Reorder the terms: -2 + 5a = 3(a + 1) + 9a + 4 Reorder the terms: -2 + 5a = 3(1 + a) + 9a + 4 -2 + 5a = (1 * 3 + a * 3) + 9a + 4 -2 + 5a = (3 + 3a) + 9a + 4 Reorder the terms: -2 + 5a = 3 + 4 + 3a + 9a Combine like terms: 3 + 4 = 7 -2 + 5a = 7 + 3a + 9a Combine like terms: 3a + 9a = 12a -2 + 5a = 7 + 12a Solving -2 + 5a = 7 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -2 + 5a + -12a = 7 + 12a + -12a Combine like terms: 5a + -12a = -7a -2 + -7a = 7 + 12a + -12a Combine like terms: 12a + -12a = 0 -2 + -7a = 7 + 0 -2 + -7a = 7 Add '2' to each side of the equation. -2 + 2 + -7a = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -7a = 7 + 2 -7a = 7 + 2 Combine like terms: 7 + 2 = 9 -7a = 9 Divide each side by '-7'. a = -1.285714286 Simplifying a = -1.285714286
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