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Simplifying -4(1a + 1) + -3a = -7(2a + -3) Reorder the terms: -4(1 + 1a) + -3a = -7(2a + -3) (1 * -4 + 1a * -4) + -3a = -7(2a + -3) (-4 + -4a) + -3a = -7(2a + -3) Combine like terms: -4a + -3a = -7a -4 + -7a = -7(2a + -3) Reorder the terms: -4 + -7a = -7(-3 + 2a) -4 + -7a = (-3 * -7 + 2a * -7) -4 + -7a = (21 + -14a) Solving -4 + -7a = 21 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -4 + -7a + 14a = 21 + -14a + 14a Combine like terms: -7a + 14a = 7a -4 + 7a = 21 + -14a + 14a Combine like terms: -14a + 14a = 0 -4 + 7a = 21 + 0 -4 + 7a = 21 Add '4' to each side of the equation. -4 + 4 + 7a = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 7a = 21 + 4 7a = 21 + 4 Combine like terms: 21 + 4 = 25 7a = 25 Divide each side by '7'. a = 3.571428571 Simplifying a = 3.571428571
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