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Simplifying 5b + 6 + -1b = 5(b + -4) + 7 Reorder the terms: 6 + 5b + -1b = 5(b + -4) + 7 Combine like terms: 5b + -1b = 4b 6 + 4b = 5(b + -4) + 7 Reorder the terms: 6 + 4b = 5(-4 + b) + 7 6 + 4b = (-4 * 5 + b * 5) + 7 6 + 4b = (-20 + 5b) + 7 Reorder the terms: 6 + 4b = -20 + 7 + 5b Combine like terms: -20 + 7 = -13 6 + 4b = -13 + 5b Solving 6 + 4b = -13 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 6 + 4b + -5b = -13 + 5b + -5b Combine like terms: 4b + -5b = -1b 6 + -1b = -13 + 5b + -5b Combine like terms: 5b + -5b = 0 6 + -1b = -13 + 0 6 + -1b = -13 Add '-6' to each side of the equation. 6 + -6 + -1b = -13 + -6 Combine like terms: 6 + -6 = 0 0 + -1b = -13 + -6 -1b = -13 + -6 Combine like terms: -13 + -6 = -19 -1b = -19 Divide each side by '-1'. b = 19 Simplifying b = 19
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