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Simplifying 5(b + -35) = 2(5b + -7) Reorder the terms: 5(-35 + b) = 2(5b + -7) (-35 * 5 + b * 5) = 2(5b + -7) (-175 + 5b) = 2(5b + -7) Reorder the terms: -175 + 5b = 2(-7 + 5b) -175 + 5b = (-7 * 2 + 5b * 2) -175 + 5b = (-14 + 10b) Solving -175 + 5b = -14 + 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. -175 + 5b + -10b = -14 + 10b + -10b Combine like terms: 5b + -10b = -5b -175 + -5b = -14 + 10b + -10b Combine like terms: 10b + -10b = 0 -175 + -5b = -14 + 0 -175 + -5b = -14 Add '175' to each side of the equation. -175 + 175 + -5b = -14 + 175 Combine like terms: -175 + 175 = 0 0 + -5b = -14 + 175 -5b = -14 + 175 Combine like terms: -14 + 175 = 161 -5b = 161 Divide each side by '-5'. b = -32.2 Simplifying b = -32.2
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