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Simplifying -6b + -34 = -5(b + 7) Reorder the terms: -34 + -6b = -5(b + 7) Reorder the terms: -34 + -6b = -5(7 + b) -34 + -6b = (7 * -5 + b * -5) -34 + -6b = (-35 + -5b) Solving -34 + -6b = -35 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -34 + -6b + 5b = -35 + -5b + 5b Combine like terms: -6b + 5b = -1b -34 + -1b = -35 + -5b + 5b Combine like terms: -5b + 5b = 0 -34 + -1b = -35 + 0 -34 + -1b = -35 Add '34' to each side of the equation. -34 + 34 + -1b = -35 + 34 Combine like terms: -34 + 34 = 0 0 + -1b = -35 + 34 -1b = -35 + 34 Combine like terms: -35 + 34 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1
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