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Simplifying 5a + -8 = 8(a + 1) + 16a + 4 Reorder the terms: -8 + 5a = 8(a + 1) + 16a + 4 Reorder the terms: -8 + 5a = 8(1 + a) + 16a + 4 -8 + 5a = (1 * 8 + a * 8) + 16a + 4 -8 + 5a = (8 + 8a) + 16a + 4 Reorder the terms: -8 + 5a = 8 + 4 + 8a + 16a Combine like terms: 8 + 4 = 12 -8 + 5a = 12 + 8a + 16a Combine like terms: 8a + 16a = 24a -8 + 5a = 12 + 24a Solving -8 + 5a = 12 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -8 + 5a + -24a = 12 + 24a + -24a Combine like terms: 5a + -24a = -19a -8 + -19a = 12 + 24a + -24a Combine like terms: 24a + -24a = 0 -8 + -19a = 12 + 0 -8 + -19a = 12 Add '8' to each side of the equation. -8 + 8 + -19a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -19a = 12 + 8 -19a = 12 + 8 Combine like terms: 12 + 8 = 20 -19a = 20 Divide each side by '-19'. a = -1.052631579 Simplifying a = -1.052631579
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