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Simplifying 27 + -5a = -7 + -2(-2a + 1) Reorder the terms: 27 + -5a = -7 + -2(1 + -2a) 27 + -5a = -7 + (1 * -2 + -2a * -2) 27 + -5a = -7 + (-2 + 4a) Combine like terms: -7 + -2 = -9 27 + -5a = -9 + 4a Solving 27 + -5a = -9 + 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. 27 + -5a + -4a = -9 + 4a + -4a Combine like terms: -5a + -4a = -9a 27 + -9a = -9 + 4a + -4a Combine like terms: 4a + -4a = 0 27 + -9a = -9 + 0 27 + -9a = -9 Add '-27' to each side of the equation. 27 + -27 + -9a = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -9a = -9 + -27 -9a = -9 + -27 Combine like terms: -9 + -27 = -36 -9a = -36 Divide each side by '-9'. a = 4 Simplifying a = 4
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