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Simplifying 5b + -7 + -1b = 4 + 3(b + -2) Reorder the terms: -7 + 5b + -1b = 4 + 3(b + -2) Combine like terms: 5b + -1b = 4b -7 + 4b = 4 + 3(b + -2) Reorder the terms: -7 + 4b = 4 + 3(-2 + b) -7 + 4b = 4 + (-2 * 3 + b * 3) -7 + 4b = 4 + (-6 + 3b) Combine like terms: 4 + -6 = -2 -7 + 4b = -2 + 3b Solving -7 + 4b = -2 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -7 + 4b + -3b = -2 + 3b + -3b Combine like terms: 4b + -3b = 1b -7 + 1b = -2 + 3b + -3b Combine like terms: 3b + -3b = 0 -7 + 1b = -2 + 0 -7 + 1b = -2 Add '7' to each side of the equation. -7 + 7 + 1b = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = -2 + 7 1b = -2 + 7 Combine like terms: -2 + 7 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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