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Simplifying 5a + -8 = 4(a + 1) + 16a + 5 Reorder the terms: -8 + 5a = 4(a + 1) + 16a + 5 Reorder the terms: -8 + 5a = 4(1 + a) + 16a + 5 -8 + 5a = (1 * 4 + a * 4) + 16a + 5 -8 + 5a = (4 + 4a) + 16a + 5 Reorder the terms: -8 + 5a = 4 + 5 + 4a + 16a Combine like terms: 4 + 5 = 9 -8 + 5a = 9 + 4a + 16a Combine like terms: 4a + 16a = 20a -8 + 5a = 9 + 20a Solving -8 + 5a = 9 + 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 = 9 + 20a + -20a Combine like terms: 5a + -20a = -15a -8 + -15a = 9 + 20a + -20a Combine like terms: 20a + -20a = 0 -8 + -15a = 9 + 0 -8 + -15a = 9 Add '8' to each side of the equation. -8 + 8 + -15a = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -15a = 9 + 8 -15a = 9 + 8 Combine like terms: 9 + 8 = 17 -15a = 17 Divide each side by '-15'. a = -1.133333333 Simplifying a = -1.133333333
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