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Simplifying 6(10 + 3a) + 5 = 5(a + 11) (10 * 6 + 3a * 6) + 5 = 5(a + 11) (60 + 18a) + 5 = 5(a + 11) Reorder the terms: 60 + 5 + 18a = 5(a + 11) Combine like terms: 60 + 5 = 65 65 + 18a = 5(a + 11) Reorder the terms: 65 + 18a = 5(11 + a) 65 + 18a = (11 * 5 + a * 5) 65 + 18a = (55 + 5a) Solving 65 + 18a = 55 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 65 + 18a + -5a = 55 + 5a + -5a Combine like terms: 18a + -5a = 13a 65 + 13a = 55 + 5a + -5a Combine like terms: 5a + -5a = 0 65 + 13a = 55 + 0 65 + 13a = 55 Add '-65' to each side of the equation. 65 + -65 + 13a = 55 + -65 Combine like terms: 65 + -65 = 0 0 + 13a = 55 + -65 13a = 55 + -65 Combine like terms: 55 + -65 = -10 13a = -10 Divide each side by '13'. a = -0.7692307692 Simplifying a = -0.7692307692
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