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Simplifying -38 + -1a = -5(1 + -2a) -38 + -1a = (1 * -5 + -2a * -5) -38 + -1a = (-5 + 10a) Solving -38 + -1a = -5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -38 + -1a + -10a = -5 + 10a + -10a Combine like terms: -1a + -10a = -11a -38 + -11a = -5 + 10a + -10a Combine like terms: 10a + -10a = 0 -38 + -11a = -5 + 0 -38 + -11a = -5 Add '38' to each side of the equation. -38 + 38 + -11a = -5 + 38 Combine like terms: -38 + 38 = 0 0 + -11a = -5 + 38 -11a = -5 + 38 Combine like terms: -5 + 38 = 33 -11a = 33 Divide each side by '-11'. a = -3 Simplifying a = -3
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