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Simplifying 6a + 6 + 7(a + 1) = -1(-3a + 4) Reorder the terms: 6a + 6 + 7(1 + a) = -1(-3a + 4) 6a + 6 + (1 * 7 + a * 7) = -1(-3a + 4) 6a + 6 + (7 + 7a) = -1(-3a + 4) Reorder the terms: 6 + 7 + 6a + 7a = -1(-3a + 4) Combine like terms: 6 + 7 = 13 13 + 6a + 7a = -1(-3a + 4) Combine like terms: 6a + 7a = 13a 13 + 13a = -1(-3a + 4) Reorder the terms: 13 + 13a = -1(4 + -3a) 13 + 13a = (4 * -1 + -3a * -1) 13 + 13a = (-4 + 3a) Solving 13 + 13a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 13 + 13a + -3a = -4 + 3a + -3a Combine like terms: 13a + -3a = 10a 13 + 10a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 13 + 10a = -4 + 0 13 + 10a = -4 Add '-13' to each side of the equation. 13 + -13 + 10a = -4 + -13 Combine like terms: 13 + -13 = 0 0 + 10a = -4 + -13 10a = -4 + -13 Combine like terms: -4 + -13 = -17 10a = -17 Divide each side by '10'. a = -1.7 Simplifying a = -1.7
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