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Simplifying 5a + -5 = 2(a + 1) + 13a + 6 Reorder the terms: -5 + 5a = 2(a + 1) + 13a + 6 Reorder the terms: -5 + 5a = 2(1 + a) + 13a + 6 -5 + 5a = (1 * 2 + a * 2) + 13a + 6 -5 + 5a = (2 + 2a) + 13a + 6 Reorder the terms: -5 + 5a = 2 + 6 + 2a + 13a Combine like terms: 2 + 6 = 8 -5 + 5a = 8 + 2a + 13a Combine like terms: 2a + 13a = 15a -5 + 5a = 8 + 15a Solving -5 + 5a = 8 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -5 + 5a + -15a = 8 + 15a + -15a Combine like terms: 5a + -15a = -10a -5 + -10a = 8 + 15a + -15a Combine like terms: 15a + -15a = 0 -5 + -10a = 8 + 0 -5 + -10a = 8 Add '5' to each side of the equation. -5 + 5 + -10a = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -10a = 8 + 5 -10a = 8 + 5 Combine like terms: 8 + 5 = 13 -10a = 13 Divide each side by '-10'. a = -1.3 Simplifying a = -1.3
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