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Simplifying -34(b + 48) = -17(b + -79) Reorder the terms: -34(48 + b) = -17(b + -79) (48 * -34 + b * -34) = -17(b + -79) (-1632 + -34b) = -17(b + -79) Reorder the terms: -1632 + -34b = -17(-79 + b) -1632 + -34b = (-79 * -17 + b * -17) -1632 + -34b = (1343 + -17b) Solving -1632 + -34b = 1343 + -17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17b' to each side of the equation. -1632 + -34b + 17b = 1343 + -17b + 17b Combine like terms: -34b + 17b = -17b -1632 + -17b = 1343 + -17b + 17b Combine like terms: -17b + 17b = 0 -1632 + -17b = 1343 + 0 -1632 + -17b = 1343 Add '1632' to each side of the equation. -1632 + 1632 + -17b = 1343 + 1632 Combine like terms: -1632 + 1632 = 0 0 + -17b = 1343 + 1632 -17b = 1343 + 1632 Combine like terms: 1343 + 1632 = 2975 -17b = 2975 Divide each side by '-17'. b = -175 Simplifying b = -175
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