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Simplifying 5a + 5(7 + -5a) = 19 + -4a 5a + (7 * 5 + -5a * 5) = 19 + -4a 5a + (35 + -25a) = 19 + -4a Reorder the terms: 35 + 5a + -25a = 19 + -4a Combine like terms: 5a + -25a = -20a 35 + -20a = 19 + -4a Solving 35 + -20a = 19 + -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. 35 + -20a + 4a = 19 + -4a + 4a Combine like terms: -20a + 4a = -16a 35 + -16a = 19 + -4a + 4a Combine like terms: -4a + 4a = 0 35 + -16a = 19 + 0 35 + -16a = 19 Add '-35' to each side of the equation. 35 + -35 + -16a = 19 + -35 Combine like terms: 35 + -35 = 0 0 + -16a = 19 + -35 -16a = 19 + -35 Combine like terms: 19 + -35 = -16 -16a = -16 Divide each side by '-16'. a = 1 Simplifying a = 1
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