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Simplifying 13 + -1(4a + -19) = (36 + 4a) + (19 + -6a) Reorder the terms: 13 + -1(-19 + 4a) = (36 + 4a) + (19 + -6a) 13 + (-19 * -1 + 4a * -1) = (36 + 4a) + (19 + -6a) 13 + (19 + -4a) = (36 + 4a) + (19 + -6a) Combine like terms: 13 + 19 = 32 32 + -4a = (36 + 4a) + (19 + -6a) Remove parenthesis around (36 + 4a) 32 + -4a = 36 + 4a + (19 + -6a) Remove parenthesis around (19 + -6a) 32 + -4a = 36 + 4a + 19 + -6a Reorder the terms: 32 + -4a = 36 + 19 + 4a + -6a Combine like terms: 36 + 19 = 55 32 + -4a = 55 + 4a + -6a Combine like terms: 4a + -6a = -2a 32 + -4a = 55 + -2a Solving 32 + -4a = 55 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 32 + -4a + 2a = 55 + -2a + 2a Combine like terms: -4a + 2a = -2a 32 + -2a = 55 + -2a + 2a Combine like terms: -2a + 2a = 0 32 + -2a = 55 + 0 32 + -2a = 55 Add '-32' to each side of the equation. 32 + -32 + -2a = 55 + -32 Combine like terms: 32 + -32 = 0 0 + -2a = 55 + -32 -2a = 55 + -32 Combine like terms: 55 + -32 = 23 -2a = 23 Divide each side by '-2'. a = -11.5 Simplifying a = -11.5
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