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Simplifying 6b + 2 + -1b = 6(b + -3) + 7 Reorder the terms: 2 + 6b + -1b = 6(b + -3) + 7 Combine like terms: 6b + -1b = 5b 2 + 5b = 6(b + -3) + 7 Reorder the terms: 2 + 5b = 6(-3 + b) + 7 2 + 5b = (-3 * 6 + b * 6) + 7 2 + 5b = (-18 + 6b) + 7 Reorder the terms: 2 + 5b = -18 + 7 + 6b Combine like terms: -18 + 7 = -11 2 + 5b = -11 + 6b Solving 2 + 5b = -11 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 2 + 5b + -6b = -11 + 6b + -6b Combine like terms: 5b + -6b = -1b 2 + -1b = -11 + 6b + -6b Combine like terms: 6b + -6b = 0 2 + -1b = -11 + 0 2 + -1b = -11 Add '-2' to each side of the equation. 2 + -2 + -1b = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = -11 + -2 -1b = -11 + -2 Combine like terms: -11 + -2 = -13 -1b = -13 Divide each side by '-1'. b = 13 Simplifying b = 13
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