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Simplifying -3b + 5(3b + -7) = b + -13 Reorder the terms: -3b + 5(-7 + 3b) = b + -13 -3b + (-7 * 5 + 3b * 5) = b + -13 -3b + (-35 + 15b) = b + -13 Reorder the terms: -35 + -3b + 15b = b + -13 Combine like terms: -3b + 15b = 12b -35 + 12b = b + -13 Reorder the terms: -35 + 12b = -13 + b Solving -35 + 12b = -13 + 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. -35 + 12b + -1b = -13 + b + -1b Combine like terms: 12b + -1b = 11b -35 + 11b = -13 + b + -1b Combine like terms: b + -1b = 0 -35 + 11b = -13 + 0 -35 + 11b = -13 Add '35' to each side of the equation. -35 + 35 + 11b = -13 + 35 Combine like terms: -35 + 35 = 0 0 + 11b = -13 + 35 11b = -13 + 35 Combine like terms: -13 + 35 = 22 11b = 22 Divide each side by '11'. b = 2 Simplifying b = 2
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