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Simplifying 96 + -99b + 45 = 10b + 4(-30b + -94) Reorder the terms: 96 + 45 + -99b = 10b + 4(-30b + -94) Combine like terms: 96 + 45 = 141 141 + -99b = 10b + 4(-30b + -94) Reorder the terms: 141 + -99b = 10b + 4(-94 + -30b) 141 + -99b = 10b + (-94 * 4 + -30b * 4) 141 + -99b = 10b + (-376 + -120b) Reorder the terms: 141 + -99b = -376 + 10b + -120b Combine like terms: 10b + -120b = -110b 141 + -99b = -376 + -110b Solving 141 + -99b = -376 + -110b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '110b' to each side of the equation. 141 + -99b + 110b = -376 + -110b + 110b Combine like terms: -99b + 110b = 11b 141 + 11b = -376 + -110b + 110b Combine like terms: -110b + 110b = 0 141 + 11b = -376 + 0 141 + 11b = -376 Add '-141' to each side of the equation. 141 + -141 + 11b = -376 + -141 Combine like terms: 141 + -141 = 0 0 + 11b = -376 + -141 11b = -376 + -141 Combine like terms: -376 + -141 = -517 11b = -517 Divide each side by '11'. b = -47 Simplifying b = -47
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