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Simplifying 4b + -10 = -2(b + 12) + -1b Reorder the terms: -10 + 4b = -2(b + 12) + -1b Reorder the terms: -10 + 4b = -2(12 + b) + -1b -10 + 4b = (12 * -2 + b * -2) + -1b -10 + 4b = (-24 + -2b) + -1b Combine like terms: -2b + -1b = -3b -10 + 4b = -24 + -3b Solving -10 + 4b = -24 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -10 + 4b + 3b = -24 + -3b + 3b Combine like terms: 4b + 3b = 7b -10 + 7b = -24 + -3b + 3b Combine like terms: -3b + 3b = 0 -10 + 7b = -24 + 0 -10 + 7b = -24 Add '10' to each side of the equation. -10 + 10 + 7b = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 7b = -24 + 10 7b = -24 + 10 Combine like terms: -24 + 10 = -14 7b = -14 Divide each side by '7'. b = -2 Simplifying b = -2
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