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Simplifying -7a + -38 = -3(1 + 2a) + -8a Reorder the terms: -38 + -7a = -3(1 + 2a) + -8a -38 + -7a = (1 * -3 + 2a * -3) + -8a -38 + -7a = (-3 + -6a) + -8a Combine like terms: -6a + -8a = -14a -38 + -7a = -3 + -14a Solving -38 + -7a = -3 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -38 + -7a + 14a = -3 + -14a + 14a Combine like terms: -7a + 14a = 7a -38 + 7a = -3 + -14a + 14a Combine like terms: -14a + 14a = 0 -38 + 7a = -3 + 0 -38 + 7a = -3 Add '38' to each side of the equation. -38 + 38 + 7a = -3 + 38 Combine like terms: -38 + 38 = 0 0 + 7a = -3 + 38 7a = -3 + 38 Combine like terms: -3 + 38 = 35 7a = 35 Divide each side by '7'. a = 5 Simplifying a = 5
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