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Simplifying 97 = -7(-6 + -8b) + -1 97 = (-6 * -7 + -8b * -7) + -1 97 = (42 + 56b) + -1 Reorder the terms: 97 = 42 + -1 + 56b Combine like terms: 42 + -1 = 41 97 = 41 + 56b Solving 97 = 41 + 56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-56b' to each side of the equation. 97 + -56b = 41 + 56b + -56b Combine like terms: 56b + -56b = 0 97 + -56b = 41 + 0 97 + -56b = 41 Add '-97' to each side of the equation. 97 + -97 + -56b = 41 + -97 Combine like terms: 97 + -97 = 0 0 + -56b = 41 + -97 -56b = 41 + -97 Combine like terms: 41 + -97 = -56 -56b = -56 Divide each side by '-56'. b = 1 Simplifying b = 1
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