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Simplifying 13(-45a + 27) = 13(-8 + -10) Reorder the terms: 13(27 + -45a) = 13(-8 + -10) (27 * 13 + -45a * 13) = 13(-8 + -10) (351 + -585a) = 13(-8 + -10) Combine like terms: -8 + -10 = -18 351 + -585a = 13(-18) Multiply 13 * -18 351 + -585a = -234 Solving 351 + -585a = -234 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-351' to each side of the equation. 351 + -351 + -585a = -234 + -351 Combine like terms: 351 + -351 = 0 0 + -585a = -234 + -351 -585a = -234 + -351 Combine like terms: -234 + -351 = -585 -585a = -585 Divide each side by '-585'. a = 1 Simplifying a = 1
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