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Simplifying 3(5b) + -7 = 13 + -1(5b) Remove parenthesis around (5b) 3 * 5b + -7 = 13 + -1(5b) Multiply 3 * 5 15b + -7 = 13 + -1(5b) Reorder the terms: -7 + 15b = 13 + -1(5b) Remove parenthesis around (5b) -7 + 15b = 13 + -1 * 5b Multiply -1 * 5 -7 + 15b = 13 + -5b Solving -7 + 15b = 13 + -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. -7 + 15b + 5b = 13 + -5b + 5b Combine like terms: 15b + 5b = 20b -7 + 20b = 13 + -5b + 5b Combine like terms: -5b + 5b = 0 -7 + 20b = 13 + 0 -7 + 20b = 13 Add '7' to each side of the equation. -7 + 7 + 20b = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 20b = 13 + 7 20b = 13 + 7 Combine like terms: 13 + 7 = 20 20b = 20 Divide each side by '20'. b = 1 Simplifying b = 1
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