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Simplifying 10 + -1(3b + 3) = -1 + (b + 2) Reorder the terms: 10 + -1(3 + 3b) = -1 + (b + 2) 10 + (3 * -1 + 3b * -1) = -1 + (b + 2) 10 + (-3 + -3b) = -1 + (b + 2) Combine like terms: 10 + -3 = 7 7 + -3b = -1 + (b + 2) Reorder the terms: 7 + -3b = -1 + (2 + b) Remove parenthesis around (2 + b) 7 + -3b = -1 + 2 + b Combine like terms: -1 + 2 = 1 7 + -3b = 1 + b Solving 7 + -3b = 1 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 7 + -3b + -1b = 1 + b + -1b Combine like terms: -3b + -1b = -4b 7 + -4b = 1 + b + -1b Combine like terms: b + -1b = 0 7 + -4b = 1 + 0 7 + -4b = 1 Add '-7' to each side of the equation. 7 + -7 + -4b = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -4b = 1 + -7 -4b = 1 + -7 Combine like terms: 1 + -7 = -6 -4b = -6 Divide each side by '-4'. b = 1.5 Simplifying b = 1.5
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