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Simplifying 177 = -7(-3b + -8) + -5 Reorder the terms: 177 = -7(-8 + -3b) + -5 177 = (-8 * -7 + -3b * -7) + -5 177 = (56 + 21b) + -5 Reorder the terms: 177 = 56 + -5 + 21b Combine like terms: 56 + -5 = 51 177 = 51 + 21b Solving 177 = 51 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. 177 + -21b = 51 + 21b + -21b Combine like terms: 21b + -21b = 0 177 + -21b = 51 + 0 177 + -21b = 51 Add '-177' to each side of the equation. 177 + -177 + -21b = 51 + -177 Combine like terms: 177 + -177 = 0 0 + -21b = 51 + -177 -21b = 51 + -177 Combine like terms: 51 + -177 = -126 -21b = -126 Divide each side by '-21'. b = 6 Simplifying b = 6
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