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Simplifying 4(2b + -14) = 5b + 1 Reorder the terms: 4(-14 + 2b) = 5b + 1 (-14 * 4 + 2b * 4) = 5b + 1 (-56 + 8b) = 5b + 1 Reorder the terms: -56 + 8b = 1 + 5b Solving -56 + 8b = 1 + 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. -56 + 8b + -5b = 1 + 5b + -5b Combine like terms: 8b + -5b = 3b -56 + 3b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 -56 + 3b = 1 + 0 -56 + 3b = 1 Add '56' to each side of the equation. -56 + 56 + 3b = 1 + 56 Combine like terms: -56 + 56 = 0 0 + 3b = 1 + 56 3b = 1 + 56 Combine like terms: 1 + 56 = 57 3b = 57 Divide each side by '3'. b = 19 Simplifying b = 19
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