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Simplifying 5(4a + -10) + 4(6a + -2) = 0 Reorder the terms: 5(-10 + 4a) + 4(6a + -2) = 0 (-10 * 5 + 4a * 5) + 4(6a + -2) = 0 (-50 + 20a) + 4(6a + -2) = 0 Reorder the terms: -50 + 20a + 4(-2 + 6a) = 0 -50 + 20a + (-2 * 4 + 6a * 4) = 0 -50 + 20a + (-8 + 24a) = 0 Reorder the terms: -50 + -8 + 20a + 24a = 0 Combine like terms: -50 + -8 = -58 -58 + 20a + 24a = 0 Combine like terms: 20a + 24a = 44a -58 + 44a = 0 Solving -58 + 44a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 44a = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 44a = 0 + 58 44a = 0 + 58 Combine like terms: 0 + 58 = 58 44a = 58 Divide each side by '44'. a = 1.318181818 Simplifying a = 1.318181818
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