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Simplifying 5(a + 3) + -25 = 6(2 + -1a) Reorder the terms: 5(3 + a) + -25 = 6(2 + -1a) (3 * 5 + a * 5) + -25 = 6(2 + -1a) (15 + 5a) + -25 = 6(2 + -1a) Reorder the terms: 15 + -25 + 5a = 6(2 + -1a) Combine like terms: 15 + -25 = -10 -10 + 5a = 6(2 + -1a) -10 + 5a = (2 * 6 + -1a * 6) -10 + 5a = (12 + -6a) Solving -10 + 5a = 12 + -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. -10 + 5a + 6a = 12 + -6a + 6a Combine like terms: 5a + 6a = 11a -10 + 11a = 12 + -6a + 6a Combine like terms: -6a + 6a = 0 -10 + 11a = 12 + 0 -10 + 11a = 12 Add '10' to each side of the equation. -10 + 10 + 11a = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11a = 12 + 10 11a = 12 + 10 Combine like terms: 12 + 10 = 22 11a = 22 Divide each side by '11'. a = 2 Simplifying a = 2
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