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Simplifying (7b + -2) + -5(7b + 8) = -56 Reorder the terms: (-2 + 7b) + -5(7b + 8) = -56 Remove parenthesis around (-2 + 7b) -2 + 7b + -5(7b + 8) = -56 Reorder the terms: -2 + 7b + -5(8 + 7b) = -56 -2 + 7b + (8 * -5 + 7b * -5) = -56 -2 + 7b + (-40 + -35b) = -56 Reorder the terms: -2 + -40 + 7b + -35b = -56 Combine like terms: -2 + -40 = -42 -42 + 7b + -35b = -56 Combine like terms: 7b + -35b = -28b -42 + -28b = -56 Solving -42 + -28b = -56 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -28b = -56 + 42 Combine like terms: -42 + 42 = 0 0 + -28b = -56 + 42 -28b = -56 + 42 Combine like terms: -56 + 42 = -14 -28b = -14 Divide each side by '-28'. b = 0.5 Simplifying b = 0.5
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