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Simplifying 3a + -8 = 4(a + 1) + 13a + 3 Reorder the terms: -8 + 3a = 4(a + 1) + 13a + 3 Reorder the terms: -8 + 3a = 4(1 + a) + 13a + 3 -8 + 3a = (1 * 4 + a * 4) + 13a + 3 -8 + 3a = (4 + 4a) + 13a + 3 Reorder the terms: -8 + 3a = 4 + 3 + 4a + 13a Combine like terms: 4 + 3 = 7 -8 + 3a = 7 + 4a + 13a Combine like terms: 4a + 13a = 17a -8 + 3a = 7 + 17a Solving -8 + 3a = 7 + 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. -8 + 3a + -17a = 7 + 17a + -17a Combine like terms: 3a + -17a = -14a -8 + -14a = 7 + 17a + -17a Combine like terms: 17a + -17a = 0 -8 + -14a = 7 + 0 -8 + -14a = 7 Add '8' to each side of the equation. -8 + 8 + -14a = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -14a = 7 + 8 -14a = 7 + 8 Combine like terms: 7 + 8 = 15 -14a = 15 Divide each side by '-14'. a = -1.071428571 Simplifying a = -1.071428571
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