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Simplifying (2a + -8b + 5) + -1(-3a + 8b + -7) = 0 Reorder the terms: (5 + 2a + -8b) + -1(-3a + 8b + -7) = 0 Remove parenthesis around (5 + 2a + -8b) 5 + 2a + -8b + -1(-3a + 8b + -7) = 0 Reorder the terms: 5 + 2a + -8b + -1(-7 + -3a + 8b) = 0 5 + 2a + -8b + (-7 * -1 + -3a * -1 + 8b * -1) = 0 5 + 2a + -8b + (7 + 3a + -8b) = 0 Reorder the terms: 5 + 7 + 2a + 3a + -8b + -8b = 0 Combine like terms: 5 + 7 = 12 12 + 2a + 3a + -8b + -8b = 0 Combine like terms: 2a + 3a = 5a 12 + 5a + -8b + -8b = 0 Combine like terms: -8b + -8b = -16b 12 + 5a + -16b = 0 Solving 12 + 5a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 5a + -12 + -16b = 0 + -12 Reorder the terms: 12 + -12 + 5a + -16b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5a + -16b = 0 + -12 5a + -16b = 0 + -12 Combine like terms: 0 + -12 = -12 5a + -16b = -12 Add '16b' to each side of the equation. 5a + -16b + 16b = -12 + 16b Combine like terms: -16b + 16b = 0 5a + 0 = -12 + 16b 5a = -12 + 16b Divide each side by '5'. a = -2.4 + 3.2b Simplifying a = -2.4 + 3.2b
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