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Simplifying 2(a + -8) + 7 = 5(a + 2) + 3a + -25 Reorder the terms: 2(-8 + a) + 7 = 5(a + 2) + 3a + -25 (-8 * 2 + a * 2) + 7 = 5(a + 2) + 3a + -25 (-16 + 2a) + 7 = 5(a + 2) + 3a + -25 Reorder the terms: -16 + 7 + 2a = 5(a + 2) + 3a + -25 Combine like terms: -16 + 7 = -9 -9 + 2a = 5(a + 2) + 3a + -25 Reorder the terms: -9 + 2a = 5(2 + a) + 3a + -25 -9 + 2a = (2 * 5 + a * 5) + 3a + -25 -9 + 2a = (10 + 5a) + 3a + -25 Reorder the terms: -9 + 2a = 10 + -25 + 5a + 3a Combine like terms: 10 + -25 = -15 -9 + 2a = -15 + 5a + 3a Combine like terms: 5a + 3a = 8a -9 + 2a = -15 + 8a Solving -9 + 2a = -15 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -9 + 2a + -8a = -15 + 8a + -8a Combine like terms: 2a + -8a = -6a -9 + -6a = -15 + 8a + -8a Combine like terms: 8a + -8a = 0 -9 + -6a = -15 + 0 -9 + -6a = -15 Add '9' to each side of the equation. -9 + 9 + -6a = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -6a = -15 + 9 -6a = -15 + 9 Combine like terms: -15 + 9 = -6 -6a = -6 Divide each side by '-6'. a = 1 Simplifying a = 1
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