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Simplifying 8(4 + -3a) = 7(3 + -4a) (4 * 8 + -3a * 8) = 7(3 + -4a) (32 + -24a) = 7(3 + -4a) 32 + -24a = (3 * 7 + -4a * 7) 32 + -24a = (21 + -28a) Solving 32 + -24a = 21 + -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. 32 + -24a + 28a = 21 + -28a + 28a Combine like terms: -24a + 28a = 4a 32 + 4a = 21 + -28a + 28a Combine like terms: -28a + 28a = 0 32 + 4a = 21 + 0 32 + 4a = 21 Add '-32' to each side of the equation. 32 + -32 + 4a = 21 + -32 Combine like terms: 32 + -32 = 0 0 + 4a = 21 + -32 4a = 21 + -32 Combine like terms: 21 + -32 = -11 4a = -11 Divide each side by '4'. a = -2.75 Simplifying a = -2.75
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