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Simplifying -25 + -1a = 8(1 + 4a) -25 + -1a = (1 * 8 + 4a * 8) -25 + -1a = (8 + 32a) Solving -25 + -1a = 8 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -25 + -1a + -32a = 8 + 32a + -32a Combine like terms: -1a + -32a = -33a -25 + -33a = 8 + 32a + -32a Combine like terms: 32a + -32a = 0 -25 + -33a = 8 + 0 -25 + -33a = 8 Add '25' to each side of the equation. -25 + 25 + -33a = 8 + 25 Combine like terms: -25 + 25 = 0 0 + -33a = 8 + 25 -33a = 8 + 25 Combine like terms: 8 + 25 = 33 -33a = 33 Divide each side by '-33'. a = -1 Simplifying a = -1
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