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Simplifying 32 = -4(3b + -2) + -7(b + 2) Reorder the terms: 32 = -4(-2 + 3b) + -7(b + 2) 32 = (-2 * -4 + 3b * -4) + -7(b + 2) 32 = (8 + -12b) + -7(b + 2) Reorder the terms: 32 = 8 + -12b + -7(2 + b) 32 = 8 + -12b + (2 * -7 + b * -7) 32 = 8 + -12b + (-14 + -7b) Reorder the terms: 32 = 8 + -14 + -12b + -7b Combine like terms: 8 + -14 = -6 32 = -6 + -12b + -7b Combine like terms: -12b + -7b = -19b 32 = -6 + -19b Solving 32 = -6 + -19b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19b' to each side of the equation. 32 + 19b = -6 + -19b + 19b Combine like terms: -19b + 19b = 0 32 + 19b = -6 + 0 32 + 19b = -6 Add '-32' to each side of the equation. 32 + -32 + 19b = -6 + -32 Combine like terms: 32 + -32 = 0 0 + 19b = -6 + -32 19b = -6 + -32 Combine like terms: -6 + -32 = -38 19b = -38 Divide each side by '19'. b = -2 Simplifying b = -2
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