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Simplifying 5b + -12(5 + -26) = 26 + 7(4b + -12) Combine like terms: 5 + -26 = -21 5b + -12(-21) = 26 + 7(4b + -12) Multiply -12 * -21 5b + 252 = 26 + 7(4b + -12) Reorder the terms: 252 + 5b = 26 + 7(4b + -12) Reorder the terms: 252 + 5b = 26 + 7(-12 + 4b) 252 + 5b = 26 + (-12 * 7 + 4b * 7) 252 + 5b = 26 + (-84 + 28b) Combine like terms: 26 + -84 = -58 252 + 5b = -58 + 28b Solving 252 + 5b = -58 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 252 + 5b + -28b = -58 + 28b + -28b Combine like terms: 5b + -28b = -23b 252 + -23b = -58 + 28b + -28b Combine like terms: 28b + -28b = 0 252 + -23b = -58 + 0 252 + -23b = -58 Add '-252' to each side of the equation. 252 + -252 + -23b = -58 + -252 Combine like terms: 252 + -252 = 0 0 + -23b = -58 + -252 -23b = -58 + -252 Combine like terms: -58 + -252 = -310 -23b = -310 Divide each side by '-23'. b = 13.47826087 Simplifying b = 13.47826087
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