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Simplifying -52 + -10b = 8(1 + -2b) -52 + -10b = (1 * 8 + -2b * 8) -52 + -10b = (8 + -16b) Solving -52 + -10b = 8 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. -52 + -10b + 16b = 8 + -16b + 16b Combine like terms: -10b + 16b = 6b -52 + 6b = 8 + -16b + 16b Combine like terms: -16b + 16b = 0 -52 + 6b = 8 + 0 -52 + 6b = 8 Add '52' to each side of the equation. -52 + 52 + 6b = 8 + 52 Combine like terms: -52 + 52 = 0 0 + 6b = 8 + 52 6b = 8 + 52 Combine like terms: 8 + 52 = 60 6b = 60 Divide each side by '6'. b = 10 Simplifying b = 10
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