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Simplifying -21 + -1b = 6(2b + 3) Reorder the terms: -21 + -1b = 6(3 + 2b) -21 + -1b = (3 * 6 + 2b * 6) -21 + -1b = (18 + 12b) Solving -21 + -1b = 18 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -21 + -1b + -12b = 18 + 12b + -12b Combine like terms: -1b + -12b = -13b -21 + -13b = 18 + 12b + -12b Combine like terms: 12b + -12b = 0 -21 + -13b = 18 + 0 -21 + -13b = 18 Add '21' to each side of the equation. -21 + 21 + -13b = 18 + 21 Combine like terms: -21 + 21 = 0 0 + -13b = 18 + 21 -13b = 18 + 21 Combine like terms: 18 + 21 = 39 -13b = 39 Divide each side by '-13'. b = -3 Simplifying b = -3
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