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Simplifying 5(a + -4) = 3(a + 1.5) Reorder the terms: 5(-4 + a) = 3(a + 1.5) (-4 * 5 + a * 5) = 3(a + 1.5) (-20 + 5a) = 3(a + 1.5) Reorder the terms: -20 + 5a = 3(1.5 + a) -20 + 5a = (1.5 * 3 + a * 3) -20 + 5a = (4.5 + 3a) Solving -20 + 5a = 4.5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -20 + 5a + -3a = 4.5 + 3a + -3a Combine like terms: 5a + -3a = 2a -20 + 2a = 4.5 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 2a = 4.5 + 0 -20 + 2a = 4.5 Add '20' to each side of the equation. -20 + 20 + 2a = 4.5 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = 4.5 + 20 2a = 4.5 + 20 Combine like terms: 4.5 + 20 = 24.5 2a = 24.5 Divide each side by '2'. a = 12.25 Simplifying a = 12.25
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