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Simplifying -8(1 + 2b) = -9b + -50 (1 * -8 + 2b * -8) = -9b + -50 (-8 + -16b) = -9b + -50 Reorder the terms: -8 + -16b = -50 + -9b Solving -8 + -16b = -50 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -8 + -16b + 9b = -50 + -9b + 9b Combine like terms: -16b + 9b = -7b -8 + -7b = -50 + -9b + 9b Combine like terms: -9b + 9b = 0 -8 + -7b = -50 + 0 -8 + -7b = -50 Add '8' to each side of the equation. -8 + 8 + -7b = -50 + 8 Combine like terms: -8 + 8 = 0 0 + -7b = -50 + 8 -7b = -50 + 8 Combine like terms: -50 + 8 = -42 -7b = -42 Divide each side by '-7'. b = 6 Simplifying b = 6
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