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Simplifying 37 + 4a = -5(1 + -5a) 37 + 4a = (1 * -5 + -5a * -5) 37 + 4a = (-5 + 25a) Solving 37 + 4a = -5 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 37 + 4a + -25a = -5 + 25a + -25a Combine like terms: 4a + -25a = -21a 37 + -21a = -5 + 25a + -25a Combine like terms: 25a + -25a = 0 37 + -21a = -5 + 0 37 + -21a = -5 Add '-37' to each side of the equation. 37 + -37 + -21a = -5 + -37 Combine like terms: 37 + -37 = 0 0 + -21a = -5 + -37 -21a = -5 + -37 Combine like terms: -5 + -37 = -42 -21a = -42 Divide each side by '-21'. a = 2 Simplifying a = 2
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