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Simplifying -196 = 4(5 + 5a) + 7a -196 = (5 * 4 + 5a * 4) + 7a -196 = (20 + 20a) + 7a Combine like terms: 20a + 7a = 27a -196 = 20 + 27a Solving -196 = 20 + 27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27a' to each side of the equation. -196 + -27a = 20 + 27a + -27a Combine like terms: 27a + -27a = 0 -196 + -27a = 20 + 0 -196 + -27a = 20 Add '196' to each side of the equation. -196 + 196 + -27a = 20 + 196 Combine like terms: -196 + 196 = 0 0 + -27a = 20 + 196 -27a = 20 + 196 Combine like terms: 20 + 196 = 216 -27a = 216 Divide each side by '-27'. a = -8 Simplifying a = -8
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