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Simplifying 4a + -5 = 4(a + 1) + 11a + 3 Reorder the terms: -5 + 4a = 4(a + 1) + 11a + 3 Reorder the terms: -5 + 4a = 4(1 + a) + 11a + 3 -5 + 4a = (1 * 4 + a * 4) + 11a + 3 -5 + 4a = (4 + 4a) + 11a + 3 Reorder the terms: -5 + 4a = 4 + 3 + 4a + 11a Combine like terms: 4 + 3 = 7 -5 + 4a = 7 + 4a + 11a Combine like terms: 4a + 11a = 15a -5 + 4a = 7 + 15a Solving -5 + 4a = 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. -5 + 4a + -15a = 7 + 15a + -15a Combine like terms: 4a + -15a = -11a -5 + -11a = 7 + 15a + -15a Combine like terms: 15a + -15a = 0 -5 + -11a = 7 + 0 -5 + -11a = 7 Add '5' to each side of the equation. -5 + 5 + -11a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -11a = 7 + 5 -11a = 7 + 5 Combine like terms: 7 + 5 = 12 -11a = 12 Divide each side by '-11'. a = -1.090909091 Simplifying a = -1.090909091
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