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Simplifying -38 + -6a = -7(1 + 6a) + 5 -38 + -6a = (1 * -7 + 6a * -7) + 5 -38 + -6a = (-7 + -42a) + 5 Reorder the terms: -38 + -6a = -7 + 5 + -42a Combine like terms: -7 + 5 = -2 -38 + -6a = -2 + -42a Solving -38 + -6a = -2 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. -38 + -6a + 42a = -2 + -42a + 42a Combine like terms: -6a + 42a = 36a -38 + 36a = -2 + -42a + 42a Combine like terms: -42a + 42a = 0 -38 + 36a = -2 + 0 -38 + 36a = -2 Add '38' to each side of the equation. -38 + 38 + 36a = -2 + 38 Combine like terms: -38 + 38 = 0 0 + 36a = -2 + 38 36a = -2 + 38 Combine like terms: -2 + 38 = 36 36a = 36 Divide each side by '36'. a = 1 Simplifying a = 1
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