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Simplifying 8(2a + 1) = 4(7a + 8) Reorder the terms: 8(1 + 2a) = 4(7a + 8) (1 * 8 + 2a * 8) = 4(7a + 8) (8 + 16a) = 4(7a + 8) Reorder the terms: 8 + 16a = 4(8 + 7a) 8 + 16a = (8 * 4 + 7a * 4) 8 + 16a = (32 + 28a) Solving 8 + 16a = 32 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. 8 + 16a + -28a = 32 + 28a + -28a Combine like terms: 16a + -28a = -12a 8 + -12a = 32 + 28a + -28a Combine like terms: 28a + -28a = 0 8 + -12a = 32 + 0 8 + -12a = 32 Add '-8' to each side of the equation. 8 + -8 + -12a = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -12a = 32 + -8 -12a = 32 + -8 Combine like terms: 32 + -8 = 24 -12a = 24 Divide each side by '-12'. a = -2 Simplifying a = -2
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