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Simplifying 2(-3a + 5) = -4(a + 4) Reorder the terms: 2(5 + -3a) = -4(a + 4) (5 * 2 + -3a * 2) = -4(a + 4) (10 + -6a) = -4(a + 4) Reorder the terms: 10 + -6a = -4(4 + a) 10 + -6a = (4 * -4 + a * -4) 10 + -6a = (-16 + -4a) Solving 10 + -6a = -16 + -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. 10 + -6a + 4a = -16 + -4a + 4a Combine like terms: -6a + 4a = -2a 10 + -2a = -16 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + -2a = -16 + 0 10 + -2a = -16 Add '-10' to each side of the equation. 10 + -10 + -2a = -16 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = -16 + -10 -2a = -16 + -10 Combine like terms: -16 + -10 = -26 -2a = -26 Divide each side by '-2'. a = 13 Simplifying a = 13
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