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Simplifying 4(5a + -10) = 3(2a + 1) Reorder the terms: 4(-10 + 5a) = 3(2a + 1) (-10 * 4 + 5a * 4) = 3(2a + 1) (-40 + 20a) = 3(2a + 1) Reorder the terms: -40 + 20a = 3(1 + 2a) -40 + 20a = (1 * 3 + 2a * 3) -40 + 20a = (3 + 6a) Solving -40 + 20a = 3 + 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 + 20a + -6a = 3 + 6a + -6a Combine like terms: 20a + -6a = 14a -40 + 14a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 -40 + 14a = 3 + 0 -40 + 14a = 3 Add '40' to each side of the equation. -40 + 40 + 14a = 3 + 40 Combine like terms: -40 + 40 = 0 0 + 14a = 3 + 40 14a = 3 + 40 Combine like terms: 3 + 40 = 43 14a = 43 Divide each side by '14'. a = 3.071428571 Simplifying a = 3.071428571
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