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Simplifying 5(2a + -4) = 3(3a + -4) Reorder the terms: 5(-4 + 2a) = 3(3a + -4) (-4 * 5 + 2a * 5) = 3(3a + -4) (-20 + 10a) = 3(3a + -4) Reorder the terms: -20 + 10a = 3(-4 + 3a) -20 + 10a = (-4 * 3 + 3a * 3) -20 + 10a = (-12 + 9a) Solving -20 + 10a = -12 + 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 + 10a + -9a = -12 + 9a + -9a Combine like terms: 10a + -9a = 1a -20 + 1a = -12 + 9a + -9a Combine like terms: 9a + -9a = 0 -20 + 1a = -12 + 0 -20 + 1a = -12 Add '20' to each side of the equation. -20 + 20 + 1a = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 1a = -12 + 20 1a = -12 + 20 Combine like terms: -12 + 20 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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