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Simplifying 5a + 10 = 2(a + 1) + 14a + 1 Reorder the terms: 10 + 5a = 2(a + 1) + 14a + 1 Reorder the terms: 10 + 5a = 2(1 + a) + 14a + 1 10 + 5a = (1 * 2 + a * 2) + 14a + 1 10 + 5a = (2 + 2a) + 14a + 1 Reorder the terms: 10 + 5a = 2 + 1 + 2a + 14a Combine like terms: 2 + 1 = 3 10 + 5a = 3 + 2a + 14a Combine like terms: 2a + 14a = 16a 10 + 5a = 3 + 16a Solving 10 + 5a = 3 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 10 + 5a + -16a = 3 + 16a + -16a Combine like terms: 5a + -16a = -11a 10 + -11a = 3 + 16a + -16a Combine like terms: 16a + -16a = 0 10 + -11a = 3 + 0 10 + -11a = 3 Add '-10' to each side of the equation. 10 + -10 + -11a = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -11a = 3 + -10 -11a = 3 + -10 Combine like terms: 3 + -10 = -7 -11a = -7 Divide each side by '-11'. a = 0.6363636364 Simplifying a = 0.6363636364
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