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Simplifying 58 + -208 = -1b + 8(-3b) + 5(-5b) Combine like terms: 58 + -208 = -150 -150 = -1b + 8(-3b) + 5(-5b) Remove parenthesis around (-3b) -150 = -1b + 8 * -3b + 5(-5b) Multiply 8 * -3 -150 = -1b + -24b + 5(-5b) Remove parenthesis around (-5b) -150 = -1b + -24b + 5 * -5b Multiply 5 * -5 -150 = -1b + -24b + -25b Combine like terms: -1b + -24b = -25b -150 = -25b + -25b Combine like terms: -25b + -25b = -50b -150 = -50b Solving -150 = -50b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '50b' to each side of the equation. -150 + 50b = -50b + 50b Combine like terms: -50b + 50b = 0 -150 + 50b = 0 Add '150' to each side of the equation. -150 + 150 + 50b = 0 + 150 Combine like terms: -150 + 150 = 0 0 + 50b = 0 + 150 50b = 0 + 150 Combine like terms: 0 + 150 = 150 50b = 150 Divide each side by '50'. b = 3 Simplifying b = 3
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