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Simplifying 2b + -3(b + -4) = 10 + -7 Reorder the terms: 2b + -3(-4 + b) = 10 + -7 2b + (-4 * -3 + b * -3) = 10 + -7 2b + (12 + -3b) = 10 + -7 Reorder the terms: 12 + 2b + -3b = 10 + -7 Combine like terms: 2b + -3b = -1b 12 + -1b = 10 + -7 Combine like terms: 10 + -7 = 3 12 + -1b = 3 Solving 12 + -1b = 3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1b = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = 3 + -12 -1b = 3 + -12 Combine like terms: 3 + -12 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9
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