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Simplifying 8a + 36 = -4 + 8(-1 + 4a) Reorder the terms: 36 + 8a = -4 + 8(-1 + 4a) 36 + 8a = -4 + (-1 * 8 + 4a * 8) 36 + 8a = -4 + (-8 + 32a) Combine like terms: -4 + -8 = -12 36 + 8a = -12 + 32a Solving 36 + 8a = -12 + 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. 36 + 8a + -32a = -12 + 32a + -32a Combine like terms: 8a + -32a = -24a 36 + -24a = -12 + 32a + -32a Combine like terms: 32a + -32a = 0 36 + -24a = -12 + 0 36 + -24a = -12 Add '-36' to each side of the equation. 36 + -36 + -24a = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -24a = -12 + -36 -24a = -12 + -36 Combine like terms: -12 + -36 = -48 -24a = -48 Divide each side by '-24'. a = 2 Simplifying a = 2
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