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Simplifying 3a + -6 = 5(a + 1) + 12a + 4 Reorder the terms: -6 + 3a = 5(a + 1) + 12a + 4 Reorder the terms: -6 + 3a = 5(1 + a) + 12a + 4 -6 + 3a = (1 * 5 + a * 5) + 12a + 4 -6 + 3a = (5 + 5a) + 12a + 4 Reorder the terms: -6 + 3a = 5 + 4 + 5a + 12a Combine like terms: 5 + 4 = 9 -6 + 3a = 9 + 5a + 12a Combine like terms: 5a + 12a = 17a -6 + 3a = 9 + 17a Solving -6 + 3a = 9 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -6 + 3a + -17a = 9 + 17a + -17a Combine like terms: 3a + -17a = -14a -6 + -14a = 9 + 17a + -17a Combine like terms: 17a + -17a = 0 -6 + -14a = 9 + 0 -6 + -14a = 9 Add '6' to each side of the equation. -6 + 6 + -14a = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -14a = 9 + 6 -14a = 9 + 6 Combine like terms: 9 + 6 = 15 -14a = 15 Divide each side by '-14'. a = -1.071428571 Simplifying a = -1.071428571
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