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Simplifying 2(a + 11) = -3(16 + -1a) Reorder the terms: 2(11 + a) = -3(16 + -1a) (11 * 2 + a * 2) = -3(16 + -1a) (22 + 2a) = -3(16 + -1a) 22 + 2a = (16 * -3 + -1a * -3) 22 + 2a = (-48 + 3a) Solving 22 + 2a = -48 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 22 + 2a + -3a = -48 + 3a + -3a Combine like terms: 2a + -3a = -1a 22 + -1a = -48 + 3a + -3a Combine like terms: 3a + -3a = 0 22 + -1a = -48 + 0 22 + -1a = -48 Add '-22' to each side of the equation. 22 + -22 + -1a = -48 + -22 Combine like terms: 22 + -22 = 0 0 + -1a = -48 + -22 -1a = -48 + -22 Combine like terms: -48 + -22 = -70 -1a = -70 Divide each side by '-1'. a = 70 Simplifying a = 70
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