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Simplifying 20 + 8a = -5(1 + -8a) + -7 20 + 8a = (1 * -5 + -8a * -5) + -7 20 + 8a = (-5 + 40a) + -7 Reorder the terms: 20 + 8a = -5 + -7 + 40a Combine like terms: -5 + -7 = -12 20 + 8a = -12 + 40a Solving 20 + 8a = -12 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 20 + 8a + -40a = -12 + 40a + -40a Combine like terms: 8a + -40a = -32a 20 + -32a = -12 + 40a + -40a Combine like terms: 40a + -40a = 0 20 + -32a = -12 + 0 20 + -32a = -12 Add '-20' to each side of the equation. 20 + -20 + -32a = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -32a = -12 + -20 -32a = -12 + -20 Combine like terms: -12 + -20 = -32 -32a = -32 Divide each side by '-32'. a = 1 Simplifying a = 1
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