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Simplifying 5a + -8 = 3(a + 1) + 13a + 3 Reorder the terms: -8 + 5a = 3(a + 1) + 13a + 3 Reorder the terms: -8 + 5a = 3(1 + a) + 13a + 3 -8 + 5a = (1 * 3 + a * 3) + 13a + 3 -8 + 5a = (3 + 3a) + 13a + 3 Reorder the terms: -8 + 5a = 3 + 3 + 3a + 13a Combine like terms: 3 + 3 = 6 -8 + 5a = 6 + 3a + 13a Combine like terms: 3a + 13a = 16a -8 + 5a = 6 + 16a Solving -8 + 5a = 6 + 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. -8 + 5a + -16a = 6 + 16a + -16a Combine like terms: 5a + -16a = -11a -8 + -11a = 6 + 16a + -16a Combine like terms: 16a + -16a = 0 -8 + -11a = 6 + 0 -8 + -11a = 6 Add '8' to each side of the equation. -8 + 8 + -11a = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -11a = 6 + 8 -11a = 6 + 8 Combine like terms: 6 + 8 = 14 -11a = 14 Divide each side by '-11'. a = -1.272727273 Simplifying a = -1.272727273
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