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Simplifying -8 + -8(1 + 4a) = 10(8 + 6a) + -4 -8 + (1 * -8 + 4a * -8) = 10(8 + 6a) + -4 -8 + (-8 + -32a) = 10(8 + 6a) + -4 Combine like terms: -8 + -8 = -16 -16 + -32a = 10(8 + 6a) + -4 -16 + -32a = (8 * 10 + 6a * 10) + -4 -16 + -32a = (80 + 60a) + -4 Reorder the terms: -16 + -32a = 80 + -4 + 60a Combine like terms: 80 + -4 = 76 -16 + -32a = 76 + 60a Solving -16 + -32a = 76 + 60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. -16 + -32a + -60a = 76 + 60a + -60a Combine like terms: -32a + -60a = -92a -16 + -92a = 76 + 60a + -60a Combine like terms: 60a + -60a = 0 -16 + -92a = 76 + 0 -16 + -92a = 76 Add '16' to each side of the equation. -16 + 16 + -92a = 76 + 16 Combine like terms: -16 + 16 = 0 0 + -92a = 76 + 16 -92a = 76 + 16 Combine like terms: 76 + 16 = 92 -92a = 92 Divide each side by '-92'. a = -1 Simplifying a = -1
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