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Simplifying -4(a + 1) + -3a = -7(2a + 3) Reorder the terms: -4(1 + a) + -3a = -7(2a + 3) (1 * -4 + a * -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 = -17 7a = -17 Divide each side by '7'. a = -2.428571429 Simplifying a = -2.428571429
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