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Simplifying -5b + 7 + -10 = -3b + 13 + -12 Reorder the terms: 7 + -10 + -5b = -3b + 13 + -12 Combine like terms: 7 + -10 = -3 -3 + -5b = -3b + 13 + -12 Reorder the terms: -3 + -5b = 13 + -12 + -3b Combine like terms: 13 + -12 = 1 -3 + -5b = 1 + -3b Solving -3 + -5b = 1 + -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. -3 + -5b + 3b = 1 + -3b + 3b Combine like terms: -5b + 3b = -2b -3 + -2b = 1 + -3b + 3b Combine like terms: -3b + 3b = 0 -3 + -2b = 1 + 0 -3 + -2b = 1 Add '3' to each side of the equation. -3 + 3 + -2b = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -2b = 1 + 3 -2b = 1 + 3 Combine like terms: 1 + 3 = 4 -2b = 4 Divide each side by '-2'. b = -2 Simplifying b = -2
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