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Simplifying 5(3a + 4) + -2(2a + -6) = 120 Reorder the terms: 5(4 + 3a) + -2(2a + -6) = 120 (4 * 5 + 3a * 5) + -2(2a + -6) = 120 (20 + 15a) + -2(2a + -6) = 120 Reorder the terms: 20 + 15a + -2(-6 + 2a) = 120 20 + 15a + (-6 * -2 + 2a * -2) = 120 20 + 15a + (12 + -4a) = 120 Reorder the terms: 20 + 12 + 15a + -4a = 120 Combine like terms: 20 + 12 = 32 32 + 15a + -4a = 120 Combine like terms: 15a + -4a = 11a 32 + 11a = 120 Solving 32 + 11a = 120 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 11a = 120 + -32 Combine like terms: 32 + -32 = 0 0 + 11a = 120 + -32 11a = 120 + -32 Combine like terms: 120 + -32 = 88 11a = 88 Divide each side by '11'. a = 8 Simplifying a = 8
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