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Simplifying -279 = -7(-5b + 4) + -6 Reorder the terms: -279 = -7(4 + -5b) + -6 -279 = (4 * -7 + -5b * -7) + -6 -279 = (-28 + 35b) + -6 Reorder the terms: -279 = -28 + -6 + 35b Combine like terms: -28 + -6 = -34 -279 = -34 + 35b Solving -279 = -34 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. -279 + -35b = -34 + 35b + -35b Combine like terms: 35b + -35b = 0 -279 + -35b = -34 + 0 -279 + -35b = -34 Add '279' to each side of the equation. -279 + 279 + -35b = -34 + 279 Combine like terms: -279 + 279 = 0 0 + -35b = -34 + 279 -35b = -34 + 279 Combine like terms: -34 + 279 = 245 -35b = 245 Divide each side by '-35'. b = -7 Simplifying b = -7
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