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Simplifying 3(5a + -2) + 10(-2a + 1) = 0 Reorder the terms: 3(-2 + 5a) + 10(-2a + 1) = 0 (-2 * 3 + 5a * 3) + 10(-2a + 1) = 0 (-6 + 15a) + 10(-2a + 1) = 0 Reorder the terms: -6 + 15a + 10(1 + -2a) = 0 -6 + 15a + (1 * 10 + -2a * 10) = 0 -6 + 15a + (10 + -20a) = 0 Reorder the terms: -6 + 10 + 15a + -20a = 0 Combine like terms: -6 + 10 = 4 4 + 15a + -20a = 0 Combine like terms: 15a + -20a = -5a 4 + -5a = 0 Solving 4 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5a = 0 + -4 -5a = 0 + -4 Combine like terms: 0 + -4 = -4 -5a = -4 Divide each side by '-5'. a = 0.8 Simplifying a = 0.8
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