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Simplifying 4(2a + 5) = 11a + -7 Reorder the terms: 4(5 + 2a) = 11a + -7 (5 * 4 + 2a * 4) = 11a + -7 (20 + 8a) = 11a + -7 Reorder the terms: 20 + 8a = -7 + 11a Solving 20 + 8a = -7 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 20 + 8a + -11a = -7 + 11a + -11a Combine like terms: 8a + -11a = -3a 20 + -3a = -7 + 11a + -11a Combine like terms: 11a + -11a = 0 20 + -3a = -7 + 0 20 + -3a = -7 Add '-20' to each side of the equation. 20 + -20 + -3a = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -3a = -7 + -20 -3a = -7 + -20 Combine like terms: -7 + -20 = -27 -3a = -27 Divide each side by '-3'. a = 9 Simplifying a = 9
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