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Simplifying 5(5 + -5a) + 7 = 32 + -5a (5 * 5 + -5a * 5) + 7 = 32 + -5a (25 + -25a) + 7 = 32 + -5a Reorder the terms: 25 + 7 + -25a = 32 + -5a Combine like terms: 25 + 7 = 32 32 + -25a = 32 + -5a Add '-32' to each side of the equation. 32 + -32 + -25a = 32 + -32 + -5a Combine like terms: 32 + -32 = 0 0 + -25a = 32 + -32 + -5a -25a = 32 + -32 + -5a Combine like terms: 32 + -32 = 0 -25a = 0 + -5a -25a = -5a Solving -25a = -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -25a + 5a = -5a + 5a Combine like terms: -25a + 5a = -20a -20a = -5a + 5a Combine like terms: -5a + 5a = 0 -20a = 0 Divide each side by '-20'. a = 0.0 Simplifying a = 0.0
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