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Simplifying (5b + -7) + -3(8 + -2b) = -1b + -15 Reorder the terms: (-7 + 5b) + -3(8 + -2b) = -1b + -15 Remove parenthesis around (-7 + 5b) -7 + 5b + -3(8 + -2b) = -1b + -15 -7 + 5b + (8 * -3 + -2b * -3) = -1b + -15 -7 + 5b + (-24 + 6b) = -1b + -15 Reorder the terms: -7 + -24 + 5b + 6b = -1b + -15 Combine like terms: -7 + -24 = -31 -31 + 5b + 6b = -1b + -15 Combine like terms: 5b + 6b = 11b -31 + 11b = -1b + -15 Reorder the terms: -31 + 11b = -15 + -1b Solving -31 + 11b = -15 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -31 + 11b + b = -15 + -1b + b Combine like terms: 11b + b = 12b -31 + 12b = -15 + -1b + b Combine like terms: -1b + b = 0 -31 + 12b = -15 + 0 -31 + 12b = -15 Add '31' to each side of the equation. -31 + 31 + 12b = -15 + 31 Combine like terms: -31 + 31 = 0 0 + 12b = -15 + 31 12b = -15 + 31 Combine like terms: -15 + 31 = 16 12b = 16 Divide each side by '12'. b = 1.333333333 Simplifying b = 1.333333333
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