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Simplifying 7(4b + -2) = 10b + 13 Reorder the terms: 7(-2 + 4b) = 10b + 13 (-2 * 7 + 4b * 7) = 10b + 13 (-14 + 28b) = 10b + 13 Reorder the terms: -14 + 28b = 13 + 10b Solving -14 + 28b = 13 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -14 + 28b + -10b = 13 + 10b + -10b Combine like terms: 28b + -10b = 18b -14 + 18b = 13 + 10b + -10b Combine like terms: 10b + -10b = 0 -14 + 18b = 13 + 0 -14 + 18b = 13 Add '14' to each side of the equation. -14 + 14 + 18b = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 18b = 13 + 14 18b = 13 + 14 Combine like terms: 13 + 14 = 27 18b = 27 Divide each side by '18'. b = 1.5 Simplifying b = 1.5
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