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Simplifying 5b + 4 + -1b = 5(b + -2) + 7 Reorder the terms: 4 + 5b + -1b = 5(b + -2) + 7 Combine like terms: 5b + -1b = 4b 4 + 4b = 5(b + -2) + 7 Reorder the terms: 4 + 4b = 5(-2 + b) + 7 4 + 4b = (-2 * 5 + b * 5) + 7 4 + 4b = (-10 + 5b) + 7 Reorder the terms: 4 + 4b = -10 + 7 + 5b Combine like terms: -10 + 7 = -3 4 + 4b = -3 + 5b Solving 4 + 4b = -3 + 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. 4 + 4b + -5b = -3 + 5b + -5b Combine like terms: 4b + -5b = -1b 4 + -1b = -3 + 5b + -5b Combine like terms: 5b + -5b = 0 4 + -1b = -3 + 0 4 + -1b = -3 Add '-4' to each side of the equation. 4 + -4 + -1b = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -3 + -4 -1b = -3 + -4 Combine like terms: -3 + -4 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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