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Simplifying 4(5a + -3) + -3(2a + -5) = 17 Reorder the terms: 4(-3 + 5a) + -3(2a + -5) = 17 (-3 * 4 + 5a * 4) + -3(2a + -5) = 17 (-12 + 20a) + -3(2a + -5) = 17 Reorder the terms: -12 + 20a + -3(-5 + 2a) = 17 -12 + 20a + (-5 * -3 + 2a * -3) = 17 -12 + 20a + (15 + -6a) = 17 Reorder the terms: -12 + 15 + 20a + -6a = 17 Combine like terms: -12 + 15 = 3 3 + 20a + -6a = 17 Combine like terms: 20a + -6a = 14a 3 + 14a = 17 Solving 3 + 14a = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 14a = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 14a = 17 + -3 14a = 17 + -3 Combine like terms: 17 + -3 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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