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Simplifying 2(-3a + 5) = 49(a + 4) Reorder the terms: 2(5 + -3a) = 49(a + 4) (5 * 2 + -3a * 2) = 49(a + 4) (10 + -6a) = 49(a + 4) Reorder the terms: 10 + -6a = 49(4 + a) 10 + -6a = (4 * 49 + a * 49) 10 + -6a = (196 + 49a) Solving 10 + -6a = 196 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. 10 + -6a + -49a = 196 + 49a + -49a Combine like terms: -6a + -49a = -55a 10 + -55a = 196 + 49a + -49a Combine like terms: 49a + -49a = 0 10 + -55a = 196 + 0 10 + -55a = 196 Add '-10' to each side of the equation. 10 + -10 + -55a = 196 + -10 Combine like terms: 10 + -10 = 0 0 + -55a = 196 + -10 -55a = 196 + -10 Combine like terms: 196 + -10 = 186 -55a = 186 Divide each side by '-55'. a = -3.381818182 Simplifying a = -3.381818182
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