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Simplifying 3 + -4a = 4(-1a + -7) + -3(2a + -3) Reorder the terms: 3 + -4a = 4(-7 + -1a) + -3(2a + -3) 3 + -4a = (-7 * 4 + -1a * 4) + -3(2a + -3) 3 + -4a = (-28 + -4a) + -3(2a + -3) Reorder the terms: 3 + -4a = -28 + -4a + -3(-3 + 2a) 3 + -4a = -28 + -4a + (-3 * -3 + 2a * -3) 3 + -4a = -28 + -4a + (9 + -6a) Reorder the terms: 3 + -4a = -28 + 9 + -4a + -6a Combine like terms: -28 + 9 = -19 3 + -4a = -19 + -4a + -6a Combine like terms: -4a + -6a = -10a 3 + -4a = -19 + -10a Solving 3 + -4a = -19 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 3 + -4a + 10a = -19 + -10a + 10a Combine like terms: -4a + 10a = 6a 3 + 6a = -19 + -10a + 10a Combine like terms: -10a + 10a = 0 3 + 6a = -19 + 0 3 + 6a = -19 Add '-3' to each side of the equation. 3 + -3 + 6a = -19 + -3 Combine like terms: 3 + -3 = 0 0 + 6a = -19 + -3 6a = -19 + -3 Combine like terms: -19 + -3 = -22 6a = -22 Divide each side by '6'. a = -3.666666667 Simplifying a = -3.666666667
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