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Simplifying -10a + 40 = -10a + -8(1 + -6a) Reorder the terms: 40 + -10a = -10a + -8(1 + -6a) 40 + -10a = -10a + (1 * -8 + -6a * -8) 40 + -10a = -10a + (-8 + 48a) Reorder the terms: 40 + -10a = -8 + -10a + 48a Combine like terms: -10a + 48a = 38a 40 + -10a = -8 + 38a Solving 40 + -10a = -8 + 38a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38a' to each side of the equation. 40 + -10a + -38a = -8 + 38a + -38a Combine like terms: -10a + -38a = -48a 40 + -48a = -8 + 38a + -38a Combine like terms: 38a + -38a = 0 40 + -48a = -8 + 0 40 + -48a = -8 Add '-40' to each side of the equation. 40 + -40 + -48a = -8 + -40 Combine like terms: 40 + -40 = 0 0 + -48a = -8 + -40 -48a = -8 + -40 Combine like terms: -8 + -40 = -48 -48a = -48 Divide each side by '-48'. a = 1 Simplifying a = 1
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