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Simplifying (25b + -2) + -6(4b + 1) = 7 Reorder the terms: (-2 + 25b) + -6(4b + 1) = 7 Remove parenthesis around (-2 + 25b) -2 + 25b + -6(4b + 1) = 7 Reorder the terms: -2 + 25b + -6(1 + 4b) = 7 -2 + 25b + (1 * -6 + 4b * -6) = 7 -2 + 25b + (-6 + -24b) = 7 Reorder the terms: -2 + -6 + 25b + -24b = 7 Combine like terms: -2 + -6 = -8 -8 + 25b + -24b = 7 Combine like terms: 25b + -24b = 1b -8 + 1b = 7 Solving -8 + 1b = 7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 7 + 8 1b = 7 + 8 Combine like terms: 7 + 8 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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