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Simplifying -4(a + -9) + 11 = 16 + 7(9 + -1a) Reorder the terms: -4(-9 + a) + 11 = 16 + 7(9 + -1a) (-9 * -4 + a * -4) + 11 = 16 + 7(9 + -1a) (36 + -4a) + 11 = 16 + 7(9 + -1a) Reorder the terms: 36 + 11 + -4a = 16 + 7(9 + -1a) Combine like terms: 36 + 11 = 47 47 + -4a = 16 + 7(9 + -1a) 47 + -4a = 16 + (9 * 7 + -1a * 7) 47 + -4a = 16 + (63 + -7a) Combine like terms: 16 + 63 = 79 47 + -4a = 79 + -7a Solving 47 + -4a = 79 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 47 + -4a + 7a = 79 + -7a + 7a Combine like terms: -4a + 7a = 3a 47 + 3a = 79 + -7a + 7a Combine like terms: -7a + 7a = 0 47 + 3a = 79 + 0 47 + 3a = 79 Add '-47' to each side of the equation. 47 + -47 + 3a = 79 + -47 Combine like terms: 47 + -47 = 0 0 + 3a = 79 + -47 3a = 79 + -47 Combine like terms: 79 + -47 = 32 3a = 32 Divide each side by '3'. a = 10.66666667 Simplifying a = 10.66666667
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