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Simplifying (25b + -7) + -6(4b + 1) = 6 Reorder the terms: (-7 + 25b) + -6(4b + 1) = 6 Remove parenthesis around (-7 + 25b) -7 + 25b + -6(4b + 1) = 6 Reorder the terms: -7 + 25b + -6(1 + 4b) = 6 -7 + 25b + (1 * -6 + 4b * -6) = 6 -7 + 25b + (-6 + -24b) = 6 Reorder the terms: -7 + -6 + 25b + -24b = 6 Combine like terms: -7 + -6 = -13 -13 + 25b + -24b = 6 Combine like terms: 25b + -24b = 1b -13 + 1b = 6 Solving -13 + 1b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = 6 + 13 1b = 6 + 13 Combine like terms: 6 + 13 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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