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Simplifying -1(7 + -3b) = 16b + 32 (7 * -1 + -3b * -1) = 16b + 32 (-7 + 3b) = 16b + 32 Reorder the terms: -7 + 3b = 32 + 16b Solving -7 + 3b = 32 + 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. -7 + 3b + -16b = 32 + 16b + -16b Combine like terms: 3b + -16b = -13b -7 + -13b = 32 + 16b + -16b Combine like terms: 16b + -16b = 0 -7 + -13b = 32 + 0 -7 + -13b = 32 Add '7' to each side of the equation. -7 + 7 + -13b = 32 + 7 Combine like terms: -7 + 7 = 0 0 + -13b = 32 + 7 -13b = 32 + 7 Combine like terms: 32 + 7 = 39 -13b = 39 Divide each side by '-13'. b = -3 Simplifying b = -3
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