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Simplifying 4b + -5 = 5(2b + -7) Reorder the terms: -5 + 4b = 5(2b + -7) Reorder the terms: -5 + 4b = 5(-7 + 2b) -5 + 4b = (-7 * 5 + 2b * 5) -5 + 4b = (-35 + 10b) Solving -5 + 4b = -35 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -5 + 4b + -10b = -35 + 10b + -10b Combine like terms: 4b + -10b = -6b -5 + -6b = -35 + 10b + -10b Combine like terms: 10b + -10b = 0 -5 + -6b = -35 + 0 -5 + -6b = -35 Add '5' to each side of the equation. -5 + 5 + -6b = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -6b = -35 + 5 -6b = -35 + 5 Combine like terms: -35 + 5 = -30 -6b = -30 Divide each side by '-6'. b = 5 Simplifying b = 5
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