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Simplifying 15 + 4(a + -5) = 27 + -4a Reorder the terms: 15 + 4(-5 + a) = 27 + -4a 15 + (-5 * 4 + a * 4) = 27 + -4a 15 + (-20 + 4a) = 27 + -4a Combine like terms: 15 + -20 = -5 -5 + 4a = 27 + -4a Solving -5 + 4a = 27 + -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. -5 + 4a + 4a = 27 + -4a + 4a Combine like terms: 4a + 4a = 8a -5 + 8a = 27 + -4a + 4a Combine like terms: -4a + 4a = 0 -5 + 8a = 27 + 0 -5 + 8a = 27 Add '5' to each side of the equation. -5 + 5 + 8a = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 8a = 27 + 5 8a = 27 + 5 Combine like terms: 27 + 5 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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