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Simplifying 5a + -4 = 7(a + 1) + 13a + 5 Reorder the terms: -4 + 5a = 7(a + 1) + 13a + 5 Reorder the terms: -4 + 5a = 7(1 + a) + 13a + 5 -4 + 5a = (1 * 7 + a * 7) + 13a + 5 -4 + 5a = (7 + 7a) + 13a + 5 Reorder the terms: -4 + 5a = 7 + 5 + 7a + 13a Combine like terms: 7 + 5 = 12 -4 + 5a = 12 + 7a + 13a Combine like terms: 7a + 13a = 20a -4 + 5a = 12 + 20a Solving -4 + 5a = 12 + 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. -4 + 5a + -20a = 12 + 20a + -20a Combine like terms: 5a + -20a = -15a -4 + -15a = 12 + 20a + -20a Combine like terms: 20a + -20a = 0 -4 + -15a = 12 + 0 -4 + -15a = 12 Add '4' to each side of the equation. -4 + 4 + -15a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -15a = 12 + 4 -15a = 12 + 4 Combine like terms: 12 + 4 = 16 -15a = 16 Divide each side by '-15'. a = -1.066666667 Simplifying a = -1.066666667
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