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Simplifying -4a + 40 = 6(5 + -1a) Reorder the terms: 40 + -4a = 6(5 + -1a) 40 + -4a = (5 * 6 + -1a * 6) 40 + -4a = (30 + -6a) Solving 40 + -4a = 30 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 40 + -4a + 6a = 30 + -6a + 6a Combine like terms: -4a + 6a = 2a 40 + 2a = 30 + -6a + 6a Combine like terms: -6a + 6a = 0 40 + 2a = 30 + 0 40 + 2a = 30 Add '-40' to each side of the equation. 40 + -40 + 2a = 30 + -40 Combine like terms: 40 + -40 = 0 0 + 2a = 30 + -40 2a = 30 + -40 Combine like terms: 30 + -40 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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