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Simplifying -2 + 10(a + 4) = -7(2 + 6a) Reorder the terms: -2 + 10(4 + a) = -7(2 + 6a) -2 + (4 * 10 + a * 10) = -7(2 + 6a) -2 + (40 + 10a) = -7(2 + 6a) Combine like terms: -2 + 40 = 38 38 + 10a = -7(2 + 6a) 38 + 10a = (2 * -7 + 6a * -7) 38 + 10a = (-14 + -42a) Solving 38 + 10a = -14 + -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 + 10a + 42a = -14 + -42a + 42a Combine like terms: 10a + 42a = 52a 38 + 52a = -14 + -42a + 42a Combine like terms: -42a + 42a = 0 38 + 52a = -14 + 0 38 + 52a = -14 Add '-38' to each side of the equation. 38 + -38 + 52a = -14 + -38 Combine like terms: 38 + -38 = 0 0 + 52a = -14 + -38 52a = -14 + -38 Combine like terms: -14 + -38 = -52 52a = -52 Divide each side by '52'. a = -1 Simplifying a = -1
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