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Simplifying 5(3a + 2) + a = -2(2a + -7) + -9 Reorder the terms: 5(2 + 3a) + a = -2(2a + -7) + -9 (2 * 5 + 3a * 5) + a = -2(2a + -7) + -9 (10 + 15a) + a = -2(2a + -7) + -9 Combine like terms: 15a + a = 16a 10 + 16a = -2(2a + -7) + -9 Reorder the terms: 10 + 16a = -2(-7 + 2a) + -9 10 + 16a = (-7 * -2 + 2a * -2) + -9 10 + 16a = (14 + -4a) + -9 Reorder the terms: 10 + 16a = 14 + -9 + -4a Combine like terms: 14 + -9 = 5 10 + 16a = 5 + -4a Solving 10 + 16a = 5 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 10 + 16a + 4a = 5 + -4a + 4a Combine like terms: 16a + 4a = 20a 10 + 20a = 5 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 20a = 5 + 0 10 + 20a = 5 Add '-10' to each side of the equation. 10 + -10 + 20a = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 20a = 5 + -10 20a = 5 + -10 Combine like terms: 5 + -10 = -5 20a = -5 Divide each side by '20'. a = -0.25 Simplifying a = -0.25
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