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Simplifying 5(-9 + -1b) = -10 + 10(-6b + -9) (-9 * 5 + -1b * 5) = -10 + 10(-6b + -9) (-45 + -5b) = -10 + 10(-6b + -9) Reorder the terms: -45 + -5b = -10 + 10(-9 + -6b) -45 + -5b = -10 + (-9 * 10 + -6b * 10) -45 + -5b = -10 + (-90 + -60b) Combine like terms: -10 + -90 = -100 -45 + -5b = -100 + -60b Solving -45 + -5b = -100 + -60b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '60b' to each side of the equation. -45 + -5b + 60b = -100 + -60b + 60b Combine like terms: -5b + 60b = 55b -45 + 55b = -100 + -60b + 60b Combine like terms: -60b + 60b = 0 -45 + 55b = -100 + 0 -45 + 55b = -100 Add '45' to each side of the equation. -45 + 45 + 55b = -100 + 45 Combine like terms: -45 + 45 = 0 0 + 55b = -100 + 45 55b = -100 + 45 Combine like terms: -100 + 45 = -55 55b = -55 Divide each side by '55'. b = -1 Simplifying b = -1
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