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Simplifying 7(b + -3) = 8b + -2 Reorder the terms: 7(-3 + b) = 8b + -2 (-3 * 7 + b * 7) = 8b + -2 (-21 + 7b) = 8b + -2 Reorder the terms: -21 + 7b = -2 + 8b Solving -21 + 7b = -2 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -21 + 7b + -8b = -2 + 8b + -8b Combine like terms: 7b + -8b = -1b -21 + -1b = -2 + 8b + -8b Combine like terms: 8b + -8b = 0 -21 + -1b = -2 + 0 -21 + -1b = -2 Add '21' to each side of the equation. -21 + 21 + -1b = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -1b = -2 + 21 -1b = -2 + 21 Combine like terms: -2 + 21 = 19 -1b = 19 Divide each side by '-1'. b = -19 Simplifying b = -19
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