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Simplifying 5a + 37 = -7(1 + -7a) Reorder the terms: 37 + 5a = -7(1 + -7a) 37 + 5a = (1 * -7 + -7a * -7) 37 + 5a = (-7 + 49a) Solving 37 + 5a = -7 + 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. 37 + 5a + -49a = -7 + 49a + -49a Combine like terms: 5a + -49a = -44a 37 + -44a = -7 + 49a + -49a Combine like terms: 49a + -49a = 0 37 + -44a = -7 + 0 37 + -44a = -7 Add '-37' to each side of the equation. 37 + -37 + -44a = -7 + -37 Combine like terms: 37 + -37 = 0 0 + -44a = -7 + -37 -44a = -7 + -37 Combine like terms: -7 + -37 = -44 -44a = -44 Divide each side by '-44'. a = 1 Simplifying a = 1
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