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Simplifying 13 + -3a = 23(2a + -3) Reorder the terms: 13 + -3a = 23(-3 + 2a) 13 + -3a = (-3 * 23 + 2a * 23) 13 + -3a = (-69 + 46a) Solving 13 + -3a = -69 + 46a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-46a' to each side of the equation. 13 + -3a + -46a = -69 + 46a + -46a Combine like terms: -3a + -46a = -49a 13 + -49a = -69 + 46a + -46a Combine like terms: 46a + -46a = 0 13 + -49a = -69 + 0 13 + -49a = -69 Add '-13' to each side of the equation. 13 + -13 + -49a = -69 + -13 Combine like terms: 13 + -13 = 0 0 + -49a = -69 + -13 -49a = -69 + -13 Combine like terms: -69 + -13 = -82 -49a = -82 Divide each side by '-49'. a = 1.673469388 Simplifying a = 1.673469388
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