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Simplifying 5(3a + 1) + 2(-8 + -6a) = 4 Reorder the terms: 5(1 + 3a) + 2(-8 + -6a) = 4 (1 * 5 + 3a * 5) + 2(-8 + -6a) = 4 (5 + 15a) + 2(-8 + -6a) = 4 5 + 15a + (-8 * 2 + -6a * 2) = 4 5 + 15a + (-16 + -12a) = 4 Reorder the terms: 5 + -16 + 15a + -12a = 4 Combine like terms: 5 + -16 = -11 -11 + 15a + -12a = 4 Combine like terms: 15a + -12a = 3a -11 + 3a = 4 Solving -11 + 3a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3a = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 3a = 4 + 11 3a = 4 + 11 Combine like terms: 4 + 11 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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