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Simplifying -2(1 + 5a) = 2a + -38 (1 * -2 + 5a * -2) = 2a + -38 (-2 + -10a) = 2a + -38 Reorder the terms: -2 + -10a = -38 + 2a Solving -2 + -10a = -38 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -2 + -10a + -2a = -38 + 2a + -2a Combine like terms: -10a + -2a = -12a -2 + -12a = -38 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + -12a = -38 + 0 -2 + -12a = -38 Add '2' to each side of the equation. -2 + 2 + -12a = -38 + 2 Combine like terms: -2 + 2 = 0 0 + -12a = -38 + 2 -12a = -38 + 2 Combine like terms: -38 + 2 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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