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Simplifying 4(3a + 2) + -7(2 + a) = 4(a + -5) Reorder the terms: 4(2 + 3a) + -7(2 + a) = 4(a + -5) (2 * 4 + 3a * 4) + -7(2 + a) = 4(a + -5) (8 + 12a) + -7(2 + a) = 4(a + -5) 8 + 12a + (2 * -7 + a * -7) = 4(a + -5) 8 + 12a + (-14 + -7a) = 4(a + -5) Reorder the terms: 8 + -14 + 12a + -7a = 4(a + -5) Combine like terms: 8 + -14 = -6 -6 + 12a + -7a = 4(a + -5) Combine like terms: 12a + -7a = 5a -6 + 5a = 4(a + -5) Reorder the terms: -6 + 5a = 4(-5 + a) -6 + 5a = (-5 * 4 + a * 4) -6 + 5a = (-20 + 4a) Solving -6 + 5a = -20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -6 + 5a + -4a = -20 + 4a + -4a Combine like terms: 5a + -4a = 1a -6 + 1a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + 1a = -20 + 0 -6 + 1a = -20 Add '6' to each side of the equation. -6 + 6 + 1a = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = -20 + 6 1a = -20 + 6 Combine like terms: -20 + 6 = -14 1a = -14 Divide each side by '1'. a = -14 Simplifying a = -14
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