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Simplifying 5a + -4(a + -8) = 13 + 2a Reorder the terms: 5a + -4(-8 + a) = 13 + 2a 5a + (-8 * -4 + a * -4) = 13 + 2a 5a + (32 + -4a) = 13 + 2a Reorder the terms: 32 + 5a + -4a = 13 + 2a Combine like terms: 5a + -4a = 1a 32 + 1a = 13 + 2a Solving 32 + 1a = 13 + 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 + 1a + -2a = 13 + 2a + -2a Combine like terms: 1a + -2a = -1a 32 + -1a = 13 + 2a + -2a Combine like terms: 2a + -2a = 0 32 + -1a = 13 + 0 32 + -1a = 13 Add '-32' to each side of the equation. 32 + -32 + -1a = 13 + -32 Combine like terms: 32 + -32 = 0 0 + -1a = 13 + -32 -1a = 13 + -32 Combine like terms: 13 + -32 = -19 -1a = -19 Divide each side by '-1'. a = 19 Simplifying a = 19
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