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Simplifying 2a + -10 = 3(a + 1) + 13a + 2 Reorder the terms: -10 + 2a = 3(a + 1) + 13a + 2 Reorder the terms: -10 + 2a = 3(1 + a) + 13a + 2 -10 + 2a = (1 * 3 + a * 3) + 13a + 2 -10 + 2a = (3 + 3a) + 13a + 2 Reorder the terms: -10 + 2a = 3 + 2 + 3a + 13a Combine like terms: 3 + 2 = 5 -10 + 2a = 5 + 3a + 13a Combine like terms: 3a + 13a = 16a -10 + 2a = 5 + 16a Solving -10 + 2a = 5 + 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 + 2a + -16a = 5 + 16a + -16a Combine like terms: 2a + -16a = -14a -10 + -14a = 5 + 16a + -16a Combine like terms: 16a + -16a = 0 -10 + -14a = 5 + 0 -10 + -14a = 5 Add '10' to each side of the equation. -10 + 10 + -14a = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -14a = 5 + 10 -14a = 5 + 10 Combine like terms: 5 + 10 = 15 -14a = 15 Divide each side by '-14'. a = -1.071428571 Simplifying a = -1.071428571
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