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Simplifying 2a + 22 = -4 + -5(6a + 6) Reorder the terms: 22 + 2a = -4 + -5(6a + 6) Reorder the terms: 22 + 2a = -4 + -5(6 + 6a) 22 + 2a = -4 + (6 * -5 + 6a * -5) 22 + 2a = -4 + (-30 + -30a) Combine like terms: -4 + -30 = -34 22 + 2a = -34 + -30a Solving 22 + 2a = -34 + -30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. 22 + 2a + 30a = -34 + -30a + 30a Combine like terms: 2a + 30a = 32a 22 + 32a = -34 + -30a + 30a Combine like terms: -30a + 30a = 0 22 + 32a = -34 + 0 22 + 32a = -34 Add '-22' to each side of the equation. 22 + -22 + 32a = -34 + -22 Combine like terms: 22 + -22 = 0 0 + 32a = -34 + -22 32a = -34 + -22 Combine like terms: -34 + -22 = -56 32a = -56 Divide each side by '32'. a = -1.75 Simplifying a = -1.75
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