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Simplifying 5 + -4(3a + 8) = 13 + -10a Reorder the terms: 5 + -4(8 + 3a) = 13 + -10a 5 + (8 * -4 + 3a * -4) = 13 + -10a 5 + (-32 + -12a) = 13 + -10a Combine like terms: 5 + -32 = -27 -27 + -12a = 13 + -10a Solving -27 + -12a = 13 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -27 + -12a + 10a = 13 + -10a + 10a Combine like terms: -12a + 10a = -2a -27 + -2a = 13 + -10a + 10a Combine like terms: -10a + 10a = 0 -27 + -2a = 13 + 0 -27 + -2a = 13 Add '27' to each side of the equation. -27 + 27 + -2a = 13 + 27 Combine like terms: -27 + 27 = 0 0 + -2a = 13 + 27 -2a = 13 + 27 Combine like terms: 13 + 27 = 40 -2a = 40 Divide each side by '-2'. a = -20 Simplifying a = -20
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