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Simplifying 6a + -2a + 1 = 5(3a + -2) Reorder the terms: 1 + 6a + -2a = 5(3a + -2) Combine like terms: 6a + -2a = 4a 1 + 4a = 5(3a + -2) Reorder the terms: 1 + 4a = 5(-2 + 3a) 1 + 4a = (-2 * 5 + 3a * 5) 1 + 4a = (-10 + 15a) Solving 1 + 4a = -10 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 1 + 4a + -15a = -10 + 15a + -15a Combine like terms: 4a + -15a = -11a 1 + -11a = -10 + 15a + -15a Combine like terms: 15a + -15a = 0 1 + -11a = -10 + 0 1 + -11a = -10 Add '-1' to each side of the equation. 1 + -1 + -11a = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -11a = -10 + -1 -11a = -10 + -1 Combine like terms: -10 + -1 = -11 -11a = -11 Divide each side by '-11'. a = 1 Simplifying a = 1
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