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Simplifying -5a + 22 = 4(5a + -7) Reorder the terms: 22 + -5a = 4(5a + -7) Reorder the terms: 22 + -5a = 4(-7 + 5a) 22 + -5a = (-7 * 4 + 5a * 4) 22 + -5a = (-28 + 20a) Solving 22 + -5a = -28 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 22 + -5a + -20a = -28 + 20a + -20a Combine like terms: -5a + -20a = -25a 22 + -25a = -28 + 20a + -20a Combine like terms: 20a + -20a = 0 22 + -25a = -28 + 0 22 + -25a = -28 Add '-22' to each side of the equation. 22 + -22 + -25a = -28 + -22 Combine like terms: 22 + -22 = 0 0 + -25a = -28 + -22 -25a = -28 + -22 Combine like terms: -28 + -22 = -50 -25a = -50 Divide each side by '-25'. a = 2 Simplifying a = 2
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