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Simplifying 4(2a + -5) = 3(3a + -8) Reorder the terms: 4(-5 + 2a) = 3(3a + -8) (-5 * 4 + 2a * 4) = 3(3a + -8) (-20 + 8a) = 3(3a + -8) Reorder the terms: -20 + 8a = 3(-8 + 3a) -20 + 8a = (-8 * 3 + 3a * 3) -20 + 8a = (-24 + 9a) Solving -20 + 8a = -24 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -20 + 8a + -9a = -24 + 9a + -9a Combine like terms: 8a + -9a = -1a -20 + -1a = -24 + 9a + -9a Combine like terms: 9a + -9a = 0 -20 + -1a = -24 + 0 -20 + -1a = -24 Add '20' to each side of the equation. -20 + 20 + -1a = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -1a = -24 + 20 -1a = -24 + 20 Combine like terms: -24 + 20 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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