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Simplifying 5a + -8 = 2(a + 1) + 18a + 6 Reorder the terms: -8 + 5a = 2(a + 1) + 18a + 6 Reorder the terms: -8 + 5a = 2(1 + a) + 18a + 6 -8 + 5a = (1 * 2 + a * 2) + 18a + 6 -8 + 5a = (2 + 2a) + 18a + 6 Reorder the terms: -8 + 5a = 2 + 6 + 2a + 18a Combine like terms: 2 + 6 = 8 -8 + 5a = 8 + 2a + 18a Combine like terms: 2a + 18a = 20a -8 + 5a = 8 + 20a Solving -8 + 5a = 8 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -8 + 5a + -20a = 8 + 20a + -20a Combine like terms: 5a + -20a = -15a -8 + -15a = 8 + 20a + -20a Combine like terms: 20a + -20a = 0 -8 + -15a = 8 + 0 -8 + -15a = 8 Add '8' to each side of the equation. -8 + 8 + -15a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -15a = 8 + 8 -15a = 8 + 8 Combine like terms: 8 + 8 = 16 -15a = 16 Divide each side by '-15'. a = -1.066666667 Simplifying a = -1.066666667
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