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Simplifying 7a + -4 + -1a = -3(1 + -3a) + -1(a + 5) Reorder the terms: -4 + 7a + -1a = -3(1 + -3a) + -1(a + 5) Combine like terms: 7a + -1a = 6a -4 + 6a = -3(1 + -3a) + -1(a + 5) -4 + 6a = (1 * -3 + -3a * -3) + -1(a + 5) -4 + 6a = (-3 + 9a) + -1(a + 5) Reorder the terms: -4 + 6a = -3 + 9a + -1(5 + a) -4 + 6a = -3 + 9a + (5 * -1 + a * -1) -4 + 6a = -3 + 9a + (-5 + -1a) Reorder the terms: -4 + 6a = -3 + -5 + 9a + -1a Combine like terms: -3 + -5 = -8 -4 + 6a = -8 + 9a + -1a Combine like terms: 9a + -1a = 8a -4 + 6a = -8 + 8a Solving -4 + 6a = -8 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -4 + 6a + -8a = -8 + 8a + -8a Combine like terms: 6a + -8a = -2a -4 + -2a = -8 + 8a + -8a Combine like terms: 8a + -8a = 0 -4 + -2a = -8 + 0 -4 + -2a = -8 Add '4' to each side of the equation. -4 + 4 + -2a = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = -8 + 4 -2a = -8 + 4 Combine like terms: -8 + 4 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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