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Simplifying 7b(2 + -4 * 5) + -32 = 6(2b) Multiply -4 * 5 7b(2 + -20) + -32 = 6(2b) Combine like terms: 2 + -20 = -18 7b(-18) + -32 = 6(2b) Reorder the terms for easier multiplication: 7 * -18b + -32 = 6(2b) Multiply 7 * -18 -126b + -32 = 6(2b) Reorder the terms: -32 + -126b = 6(2b) Remove parenthesis around (2b) -32 + -126b = 6 * 2b Multiply 6 * 2 -32 + -126b = 12b Solving -32 + -126b = 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -32 + -126b + -12b = 12b + -12b Combine like terms: -126b + -12b = -138b -32 + -138b = 12b + -12b Combine like terms: 12b + -12b = 0 -32 + -138b = 0 Add '32' to each side of the equation. -32 + 32 + -138b = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -138b = 0 + 32 -138b = 0 + 32 Combine like terms: 0 + 32 = 32 -138b = 32 Divide each side by '-138'. b = -0.231884058 Simplifying b = -0.231884058
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