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Simplifying 5 + 3(a + 4) = 7a + -1(9 + -10a) + 4 Reorder the terms: 5 + 3(4 + a) = 7a + -1(9 + -10a) + 4 5 + (4 * 3 + a * 3) = 7a + -1(9 + -10a) + 4 5 + (12 + 3a) = 7a + -1(9 + -10a) + 4 Combine like terms: 5 + 12 = 17 17 + 3a = 7a + -1(9 + -10a) + 4 17 + 3a = 7a + (9 * -1 + -10a * -1) + 4 17 + 3a = 7a + (-9 + 10a) + 4 Reorder the terms: 17 + 3a = -9 + 4 + 7a + 10a Combine like terms: -9 + 4 = -5 17 + 3a = -5 + 7a + 10a Combine like terms: 7a + 10a = 17a 17 + 3a = -5 + 17a Solving 17 + 3a = -5 + 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. 17 + 3a + -17a = -5 + 17a + -17a Combine like terms: 3a + -17a = -14a 17 + -14a = -5 + 17a + -17a Combine like terms: 17a + -17a = 0 17 + -14a = -5 + 0 17 + -14a = -5 Add '-17' to each side of the equation. 17 + -17 + -14a = -5 + -17 Combine like terms: 17 + -17 = 0 0 + -14a = -5 + -17 -14a = -5 + -17 Combine like terms: -5 + -17 = -22 -14a = -22 Divide each side by '-14'. a = 1.571428571 Simplifying a = 1.571428571
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