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Simplifying 5(14 + -2b) = 1 + 5b (14 * 5 + -2b * 5) = 1 + 5b (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 = -15b 70 + -15b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 70 + -15b = 1 + 0 70 + -15b = 1 Add '-70' to each side of the equation. 70 + -70 + -15b = 1 + -70 Combine like terms: 70 + -70 = 0 0 + -15b = 1 + -70 -15b = 1 + -70 Combine like terms: 1 + -70 = -69 -15b = -69 Divide each side by '-15'. b = 4.6 Simplifying b = 4.6
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