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Simplifying 4(3a + 5) = 4a + -10 Reorder the terms: 4(5 + 3a) = 4a + -10 (5 * 4 + 3a * 4) = 4a + -10 (20 + 12a) = 4a + -10 Reorder the terms: 20 + 12a = -10 + 4a Solving 20 + 12a = -10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 20 + 12a + -4a = -10 + 4a + -4a Combine like terms: 12a + -4a = 8a 20 + 8a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 20 + 8a = -10 + 0 20 + 8a = -10 Add '-20' to each side of the equation. 20 + -20 + 8a = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 8a = -10 + -20 8a = -10 + -20 Combine like terms: -10 + -20 = -30 8a = -30 Divide each side by '8'. a = -3.75 Simplifying a = -3.75
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