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Simplifying 3a + -9 = 2(a + 1) + 15a + 4 Reorder the terms: -9 + 3a = 2(a + 1) + 15a + 4 Reorder the terms: -9 + 3a = 2(1 + a) + 15a + 4 -9 + 3a = (1 * 2 + a * 2) + 15a + 4 -9 + 3a = (2 + 2a) + 15a + 4 Reorder the terms: -9 + 3a = 2 + 4 + 2a + 15a Combine like terms: 2 + 4 = 6 -9 + 3a = 6 + 2a + 15a Combine like terms: 2a + 15a = 17a -9 + 3a = 6 + 17a Solving -9 + 3a = 6 + 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. -9 + 3a + -17a = 6 + 17a + -17a Combine like terms: 3a + -17a = -14a -9 + -14a = 6 + 17a + -17a Combine like terms: 17a + -17a = 0 -9 + -14a = 6 + 0 -9 + -14a = 6 Add '9' to each side of the equation. -9 + 9 + -14a = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -14a = 6 + 9 -14a = 6 + 9 Combine like terms: 6 + 9 = 15 -14a = 15 Divide each side by '-14'. a = -1.071428571 Simplifying a = -1.071428571
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