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Simplifying 6a + -25 = 5(1 + 6a) + -6 Reorder the terms: -25 + 6a = 5(1 + 6a) + -6 -25 + 6a = (1 * 5 + 6a * 5) + -6 -25 + 6a = (5 + 30a) + -6 Reorder the terms: -25 + 6a = 5 + -6 + 30a Combine like terms: 5 + -6 = -1 -25 + 6a = -1 + 30a Solving -25 + 6a = -1 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -25 + 6a + -30a = -1 + 30a + -30a Combine like terms: 6a + -30a = -24a -25 + -24a = -1 + 30a + -30a Combine like terms: 30a + -30a = 0 -25 + -24a = -1 + 0 -25 + -24a = -1 Add '25' to each side of the equation. -25 + 25 + -24a = -1 + 25 Combine like terms: -25 + 25 = 0 0 + -24a = -1 + 25 -24a = -1 + 25 Combine like terms: -1 + 25 = 24 -24a = 24 Divide each side by '-24'. a = -1 Simplifying a = -1
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