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Simplifying 5(2a + 3) + -10 = 4(2 + -1a) + 12 Reorder the terms: 5(3 + 2a) + -10 = 4(2 + -1a) + 12 (3 * 5 + 2a * 5) + -10 = 4(2 + -1a) + 12 (15 + 10a) + -10 = 4(2 + -1a) + 12 Reorder the terms: 15 + -10 + 10a = 4(2 + -1a) + 12 Combine like terms: 15 + -10 = 5 5 + 10a = 4(2 + -1a) + 12 5 + 10a = (2 * 4 + -1a * 4) + 12 5 + 10a = (8 + -4a) + 12 Reorder the terms: 5 + 10a = 8 + 12 + -4a Combine like terms: 8 + 12 = 20 5 + 10a = 20 + -4a Solving 5 + 10a = 20 + -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. 5 + 10a + 4a = 20 + -4a + 4a Combine like terms: 10a + 4a = 14a 5 + 14a = 20 + -4a + 4a Combine like terms: -4a + 4a = 0 5 + 14a = 20 + 0 5 + 14a = 20 Add '-5' to each side of the equation. 5 + -5 + 14a = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 14a = 20 + -5 14a = 20 + -5 Combine like terms: 20 + -5 = 15 14a = 15 Divide each side by '14'. a = 1.071428571 Simplifying a = 1.071428571
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