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Simplifying 3(5b + -7) = 35 + 4b Reorder the terms: 3(-7 + 5b) = 35 + 4b (-7 * 3 + 5b * 3) = 35 + 4b (-21 + 15b) = 35 + 4b Solving -21 + 15b = 35 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -21 + 15b + -4b = 35 + 4b + -4b Combine like terms: 15b + -4b = 11b -21 + 11b = 35 + 4b + -4b Combine like terms: 4b + -4b = 0 -21 + 11b = 35 + 0 -21 + 11b = 35 Add '21' to each side of the equation. -21 + 21 + 11b = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 11b = 35 + 21 11b = 35 + 21 Combine like terms: 35 + 21 = 56 11b = 56 Divide each side by '11'. b = 5.090909091 Simplifying b = 5.090909091
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