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Simplifying 19(a + 13) = -29 + -4a Reorder the terms: 19(13 + a) = -29 + -4a (13 * 19 + a * 19) = -29 + -4a (247 + 19a) = -29 + -4a Solving 247 + 19a = -29 + -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. 247 + 19a + 4a = -29 + -4a + 4a Combine like terms: 19a + 4a = 23a 247 + 23a = -29 + -4a + 4a Combine like terms: -4a + 4a = 0 247 + 23a = -29 + 0 247 + 23a = -29 Add '-247' to each side of the equation. 247 + -247 + 23a = -29 + -247 Combine like terms: 247 + -247 = 0 0 + 23a = -29 + -247 23a = -29 + -247 Combine like terms: -29 + -247 = -276 23a = -276 Divide each side by '23'. a = -12 Simplifying a = -12
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