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Simplifying 2b + -7b = -3(6b + 4) + 3(1 + 4b) Combine like terms: 2b + -7b = -5b -5b = -3(6b + 4) + 3(1 + 4b) Reorder the terms: -5b = -3(4 + 6b) + 3(1 + 4b) -5b = (4 * -3 + 6b * -3) + 3(1 + 4b) -5b = (-12 + -18b) + 3(1 + 4b) -5b = -12 + -18b + (1 * 3 + 4b * 3) -5b = -12 + -18b + (3 + 12b) Reorder the terms: -5b = -12 + 3 + -18b + 12b Combine like terms: -12 + 3 = -9 -5b = -9 + -18b + 12b Combine like terms: -18b + 12b = -6b -5b = -9 + -6b Solving -5b = -9 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -5b + 6b = -9 + -6b + 6b Combine like terms: -5b + 6b = 1b 1b = -9 + -6b + 6b Combine like terms: -6b + 6b = 0 1b = -9 + 0 1b = -9 Divide each side by '1'. b = -9 Simplifying b = -9
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