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Simplifying -38 + a = -5(-5a + -2) Reorder the terms: -38 + a = -5(-2 + -5a) -38 + a = (-2 * -5 + -5a * -5) -38 + a = (10 + 25a) Solving -38 + a = 10 + 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. -38 + a + -25a = 10 + 25a + -25a Combine like terms: a + -25a = -24a -38 + -24a = 10 + 25a + -25a Combine like terms: 25a + -25a = 0 -38 + -24a = 10 + 0 -38 + -24a = 10 Add '38' to each side of the equation. -38 + 38 + -24a = 10 + 38 Combine like terms: -38 + 38 = 0 0 + -24a = 10 + 38 -24a = 10 + 38 Combine like terms: 10 + 38 = 48 -24a = 48 Divide each side by '-24'. a = -2 Simplifying a = -2
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