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Simplifying 22 + a = -7(7a + 4) Reorder the terms: 22 + a = -7(4 + 7a) 22 + a = (4 * -7 + 7a * -7) 22 + a = (-28 + -49a) Solving 22 + a = -28 + -49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49a' to each side of the equation. 22 + a + 49a = -28 + -49a + 49a Combine like terms: a + 49a = 50a 22 + 50a = -28 + -49a + 49a Combine like terms: -49a + 49a = 0 22 + 50a = -28 + 0 22 + 50a = -28 Add '-22' to each side of the equation. 22 + -22 + 50a = -28 + -22 Combine like terms: 22 + -22 = 0 0 + 50a = -28 + -22 50a = -28 + -22 Combine like terms: -28 + -22 = -50 50a = -50 Divide each side by '50'. a = -1 Simplifying a = -1
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