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Simplifying -70 = -7(6b + -8) Reorder the terms: -70 = -7(-8 + 6b) -70 = (-8 * -7 + 6b * -7) -70 = (56 + -42b) Solving -70 = 56 + -42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42b' to each side of the equation. -70 + 42b = 56 + -42b + 42b Combine like terms: -42b + 42b = 0 -70 + 42b = 56 + 0 -70 + 42b = 56 Add '70' to each side of the equation. -70 + 70 + 42b = 56 + 70 Combine like terms: -70 + 70 = 0 0 + 42b = 56 + 70 42b = 56 + 70 Combine like terms: 56 + 70 = 126 42b = 126 Divide each side by '42'. b = 3 Simplifying b = 3
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