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Simplifying 5(1 + -2a) = -6a + 25 (1 * 5 + -2a * 5) = -6a + 25 (5 + -10a) = -6a + 25 Reorder the terms: 5 + -10a = 25 + -6a Solving 5 + -10a = 25 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 5 + -10a + 6a = 25 + -6a + 6a Combine like terms: -10a + 6a = -4a 5 + -4a = 25 + -6a + 6a Combine like terms: -6a + 6a = 0 5 + -4a = 25 + 0 5 + -4a = 25 Add '-5' to each side of the equation. 5 + -5 + -4a = 25 + -5 Combine like terms: 5 + -5 = 0 0 + -4a = 25 + -5 -4a = 25 + -5 Combine like terms: 25 + -5 = 20 -4a = 20 Divide each side by '-4'. a = -5 Simplifying a = -5
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