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Simplifying 8b + 3 + -10b = 2(b + -2) + 3 Reorder the terms: 3 + 8b + -10b = 2(b + -2) + 3 Combine like terms: 8b + -10b = -2b 3 + -2b = 2(b + -2) + 3 Reorder the terms: 3 + -2b = 2(-2 + b) + 3 3 + -2b = (-2 * 2 + b * 2) + 3 3 + -2b = (-4 + 2b) + 3 Reorder the terms: 3 + -2b = -4 + 3 + 2b Combine like terms: -4 + 3 = -1 3 + -2b = -1 + 2b Solving 3 + -2b = -1 + 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. 3 + -2b + -2b = -1 + 2b + -2b Combine like terms: -2b + -2b = -4b 3 + -4b = -1 + 2b + -2b Combine like terms: 2b + -2b = 0 3 + -4b = -1 + 0 3 + -4b = -1 Add '-3' to each side of the equation. 3 + -3 + -4b = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -4b = -1 + -3 -4b = -1 + -3 Combine like terms: -1 + -3 = -4 -4b = -4 Divide each side by '-4'. b = 1 Simplifying b = 1
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