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Simplifying 5(2b + -14) = 5b + 1 Reorder the terms: 5(-14 + 2b) = 5b + 1 (-14 * 5 + 2b * 5) = 5b + 1 (-70 + 10b) = 5b + 1 Reorder the terms: -70 + 10b = 1 + 5b Solving -70 + 10b = 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. -70 + 10b + -5b = 1 + 5b + -5b Combine like terms: 10b + -5b = 5b -70 + 5b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 -70 + 5b = 1 + 0 -70 + 5b = 1 Add '70' to each side of the equation. -70 + 70 + 5b = 1 + 70 Combine like terms: -70 + 70 = 0 0 + 5b = 1 + 70 5b = 1 + 70 Combine like terms: 1 + 70 = 71 5b = 71 Divide each side by '5'. b = 14.2 Simplifying b = 14.2
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