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Simplifying 32 + 7a = 8(-5a + 4) Reorder the terms: 32 + 7a = 8(4 + -5a) 32 + 7a = (4 * 8 + -5a * 8) 32 + 7a = (32 + -40a) Add '-32' to each side of the equation. 32 + -32 + 7a = 32 + -32 + -40a Combine like terms: 32 + -32 = 0 0 + 7a = 32 + -32 + -40a 7a = 32 + -32 + -40a Combine like terms: 32 + -32 = 0 7a = 0 + -40a 7a = -40a Solving 7a = -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 7a + 40a = -40a + 40a Combine like terms: 7a + 40a = 47a 47a = -40a + 40a Combine like terms: -40a + 40a = 0 47a = 0 Divide each side by '47'. a = 0 Simplifying a = 0
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