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Simplifying 5(10 + -3a) = 4(2a + 1) (10 * 5 + -3a * 5) = 4(2a + 1) (50 + -15a) = 4(2a + 1) Reorder the terms: 50 + -15a = 4(1 + 2a) 50 + -15a = (1 * 4 + 2a * 4) 50 + -15a = (4 + 8a) Solving 50 + -15a = 4 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 50 + -15a + -8a = 4 + 8a + -8a Combine like terms: -15a + -8a = -23a 50 + -23a = 4 + 8a + -8a Combine like terms: 8a + -8a = 0 50 + -23a = 4 + 0 50 + -23a = 4 Add '-50' to each side of the equation. 50 + -50 + -23a = 4 + -50 Combine like terms: 50 + -50 = 0 0 + -23a = 4 + -50 -23a = 4 + -50 Combine like terms: 4 + -50 = -46 -23a = -46 Divide each side by '-23'. a = 2 Simplifying a = 2
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