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Simplifying 5 + -3(b + 2) = (2b + 7) + -1(6 + -12) Reorder the terms: 5 + -3(2 + b) = (2b + 7) + -1(6 + -12) 5 + (2 * -3 + b * -3) = (2b + 7) + -1(6 + -12) 5 + (-6 + -3b) = (2b + 7) + -1(6 + -12) Combine like terms: 5 + -6 = -1 -1 + -3b = (2b + 7) + -1(6 + -12) Reorder the terms: -1 + -3b = (7 + 2b) + -1(6 + -12) Remove parenthesis around (7 + 2b) -1 + -3b = 7 + 2b + -1(6 + -12) Combine like terms: 6 + -12 = -6 -1 + -3b = 7 + 2b + -1(-6) Multiply -1 * -6 -1 + -3b = 7 + 2b + 6 Reorder the terms: -1 + -3b = 7 + 6 + 2b Combine like terms: 7 + 6 = 13 -1 + -3b = 13 + 2b Solving -1 + -3b = 13 + 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. -1 + -3b + -2b = 13 + 2b + -2b Combine like terms: -3b + -2b = -5b -1 + -5b = 13 + 2b + -2b Combine like terms: 2b + -2b = 0 -1 + -5b = 13 + 0 -1 + -5b = 13 Add '1' to each side of the equation. -1 + 1 + -5b = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -5b = 13 + 1 -5b = 13 + 1 Combine like terms: 13 + 1 = 14 -5b = 14 Divide each side by '-5'. b = -2.8 Simplifying b = -2.8
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