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Simplifying 5 + -2a(b + 8) = 3 + -1a(6b + -7) Reorder the terms: 5 + -2a(8 + b) = 3 + -1a(6b + -7) 5 + (8 * -2a + b * -2a) = 3 + -1a(6b + -7) 5 + (-16a + -2ab) = 3 + -1a(6b + -7) Reorder the terms: 5 + -16a + -2ab = 3 + -1a(-7 + 6b) 5 + -16a + -2ab = 3 + (-7 * -1a + 6b * -1a) 5 + -16a + -2ab = 3 + (7a + -6ab) Solving 5 + -16a + -2ab = 3 + 7a + -6ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 5 + -16a + -7a + -2ab = 3 + 7a + -7a + -6ab Combine like terms: -16a + -7a = -23a 5 + -23a + -2ab = 3 + 7a + -7a + -6ab Combine like terms: 7a + -7a = 0 5 + -23a + -2ab = 3 + 0 + -6ab 5 + -23a + -2ab = 3 + -6ab Add '6ab' to each side of the equation. 5 + -23a + -2ab + 6ab = 3 + -6ab + 6ab Combine like terms: -2ab + 6ab = 4ab 5 + -23a + 4ab = 3 + -6ab + 6ab Combine like terms: -6ab + 6ab = 0 5 + -23a + 4ab = 3 + 0 5 + -23a + 4ab = 3 Add '-5' to each side of the equation. 5 + -23a + -5 + 4ab = 3 + -5 Reorder the terms: 5 + -5 + -23a + 4ab = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -23a + 4ab = 3 + -5 -23a + 4ab = 3 + -5 Combine like terms: 3 + -5 = -2 -23a + 4ab = -2 Reorder the terms: 2 + -23a + 4ab = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -23a + 4ab = 0 The solution to this equation could not be determined.
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