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Simplifying 5a + -4 = 4(a + 1) + 11a + 3 Reorder the terms: -4 + 5a = 4(a + 1) + 11a + 3 Reorder the terms: -4 + 5a = 4(1 + a) + 11a + 3 -4 + 5a = (1 * 4 + a * 4) + 11a + 3 -4 + 5a = (4 + 4a) + 11a + 3 Reorder the terms: -4 + 5a = 4 + 3 + 4a + 11a Combine like terms: 4 + 3 = 7 -4 + 5a = 7 + 4a + 11a Combine like terms: 4a + 11a = 15a -4 + 5a = 7 + 15a Solving -4 + 5a = 7 + 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. -4 + 5a + -15a = 7 + 15a + -15a Combine like terms: 5a + -15a = -10a -4 + -10a = 7 + 15a + -15a Combine like terms: 15a + -15a = 0 -4 + -10a = 7 + 0 -4 + -10a = 7 Add '4' to each side of the equation. -4 + 4 + -10a = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -10a = 7 + 4 -10a = 7 + 4 Combine like terms: 7 + 4 = 11 -10a = 11 Divide each side by '-10'. a = -1.1 Simplifying a = -1.1
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