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Simplifying 1 + -12b + -7 + 8b = -4(b + -3) + -3(9 + -1b) Reorder the terms: 1 + -7 + -12b + 8b = -4(b + -3) + -3(9 + -1b) Combine like terms: 1 + -7 = -6 -6 + -12b + 8b = -4(b + -3) + -3(9 + -1b) Combine like terms: -12b + 8b = -4b -6 + -4b = -4(b + -3) + -3(9 + -1b) Reorder the terms: -6 + -4b = -4(-3 + b) + -3(9 + -1b) -6 + -4b = (-3 * -4 + b * -4) + -3(9 + -1b) -6 + -4b = (12 + -4b) + -3(9 + -1b) -6 + -4b = 12 + -4b + (9 * -3 + -1b * -3) -6 + -4b = 12 + -4b + (-27 + 3b) Reorder the terms: -6 + -4b = 12 + -27 + -4b + 3b Combine like terms: 12 + -27 = -15 -6 + -4b = -15 + -4b + 3b Combine like terms: -4b + 3b = -1b -6 + -4b = -15 + -1b Solving -6 + -4b = -15 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -6 + -4b + b = -15 + -1b + b Combine like terms: -4b + b = -3b -6 + -3b = -15 + -1b + b Combine like terms: -1b + b = 0 -6 + -3b = -15 + 0 -6 + -3b = -15 Add '6' to each side of the equation. -6 + 6 + -3b = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -3b = -15 + 6 -3b = -15 + 6 Combine like terms: -15 + 6 = -9 -3b = -9 Divide each side by '-3'. b = 3 Simplifying b = 3
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