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Simplifying -4(b + 3) + -1 = 6(1 + -1b) + -7 Reorder the terms: -4(3 + b) + -1 = 6(1 + -1b) + -7 (3 * -4 + b * -4) + -1 = 6(1 + -1b) + -7 (-12 + -4b) + -1 = 6(1 + -1b) + -7 Reorder the terms: -12 + -1 + -4b = 6(1 + -1b) + -7 Combine like terms: -12 + -1 = -13 -13 + -4b = 6(1 + -1b) + -7 -13 + -4b = (1 * 6 + -1b * 6) + -7 -13 + -4b = (6 + -6b) + -7 Reorder the terms: -13 + -4b = 6 + -7 + -6b Combine like terms: 6 + -7 = -1 -13 + -4b = -1 + -6b Solving -13 + -4b = -1 + -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. -13 + -4b + 6b = -1 + -6b + 6b Combine like terms: -4b + 6b = 2b -13 + 2b = -1 + -6b + 6b Combine like terms: -6b + 6b = 0 -13 + 2b = -1 + 0 -13 + 2b = -1 Add '13' to each side of the equation. -13 + 13 + 2b = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 2b = -1 + 13 2b = -1 + 13 Combine like terms: -1 + 13 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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