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Simplifying 5a + 20 = 3(a + -4) Reorder the terms: 20 + 5a = 3(a + -4) Reorder the terms: 20 + 5a = 3(-4 + a) 20 + 5a = (-4 * 3 + a * 3) 20 + 5a = (-12 + 3a) Solving 20 + 5a = -12 + 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 = -12 + 3a + -3a Combine like terms: 5a + -3a = 2a 20 + 2a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 20 + 2a = -12 + 0 20 + 2a = -12 Add '-20' to each side of the equation. 20 + -20 + 2a = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 2a = -12 + -20 2a = -12 + -20 Combine like terms: -12 + -20 = -32 2a = -32 Divide each side by '2'. a = -16 Simplifying a = -16
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