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Simplifying -20 + -6b + 4b + 2 = 12b + -7 + -10b + -3 Reorder the terms: -20 + 2 + -6b + 4b = 12b + -7 + -10b + -3 Combine like terms: -20 + 2 = -18 -18 + -6b + 4b = 12b + -7 + -10b + -3 Combine like terms: -6b + 4b = -2b -18 + -2b = 12b + -7 + -10b + -3 Reorder the terms: -18 + -2b = -7 + -3 + 12b + -10b Combine like terms: -7 + -3 = -10 -18 + -2b = -10 + 12b + -10b Combine like terms: 12b + -10b = 2b -18 + -2b = -10 + 2b Solving -18 + -2b = -10 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -18 + -2b + -2b = -10 + 2b + -2b Combine like terms: -2b + -2b = -4b -18 + -4b = -10 + 2b + -2b Combine like terms: 2b + -2b = 0 -18 + -4b = -10 + 0 -18 + -4b = -10 Add '18' to each side of the equation. -18 + 18 + -4b = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -4b = -10 + 18 -4b = -10 + 18 Combine like terms: -10 + 18 = 8 -4b = 8 Divide each side by '-4'. b = -2 Simplifying b = -2
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