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Simplifying 5b + 6 + -1b = 5(b + -4) + 2 Reorder the terms: 6 + 5b + -1b = 5(b + -4) + 2 Combine like terms: 5b + -1b = 4b 6 + 4b = 5(b + -4) + 2 Reorder the terms: 6 + 4b = 5(-4 + b) + 2 6 + 4b = (-4 * 5 + b * 5) + 2 6 + 4b = (-20 + 5b) + 2 Reorder the terms: 6 + 4b = -20 + 2 + 5b Combine like terms: -20 + 2 = -18 6 + 4b = -18 + 5b Solving 6 + 4b = -18 + 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. 6 + 4b + -5b = -18 + 5b + -5b Combine like terms: 4b + -5b = -1b 6 + -1b = -18 + 5b + -5b Combine like terms: 5b + -5b = 0 6 + -1b = -18 + 0 6 + -1b = -18 Add '-6' to each side of the equation. 6 + -6 + -1b = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -1b = -18 + -6 -1b = -18 + -6 Combine like terms: -18 + -6 = -24 -1b = -24 Divide each side by '-1'. b = 24 Simplifying b = 24
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