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Simplifying 7(1 + -3a) + a = 6 + -1(a + -4) (1 * 7 + -3a * 7) + a = 6 + -1(a + -4) (7 + -21a) + a = 6 + -1(a + -4) Combine like terms: -21a + a = -20a 7 + -20a = 6 + -1(a + -4) Reorder the terms: 7 + -20a = 6 + -1(-4 + a) 7 + -20a = 6 + (-4 * -1 + a * -1) 7 + -20a = 6 + (4 + -1a) Combine like terms: 6 + 4 = 10 7 + -20a = 10 + -1a Solving 7 + -20a = 10 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + -20a + a = 10 + -1a + a Combine like terms: -20a + a = -19a 7 + -19a = 10 + -1a + a Combine like terms: -1a + a = 0 7 + -19a = 10 + 0 7 + -19a = 10 Add '-7' to each side of the equation. 7 + -7 + -19a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -19a = 10 + -7 -19a = 10 + -7 Combine like terms: 10 + -7 = 3 -19a = 3 Divide each side by '-19'. a = -0.1578947368 Simplifying a = -0.1578947368
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