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Simplifying -3b + -10 = 7(-5 + -4b) Reorder the terms: -10 + -3b = 7(-5 + -4b) -10 + -3b = (-5 * 7 + -4b * 7) -10 + -3b = (-35 + -28b) Solving -10 + -3b = -35 + -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. -10 + -3b + 28b = -35 + -28b + 28b Combine like terms: -3b + 28b = 25b -10 + 25b = -35 + -28b + 28b Combine like terms: -28b + 28b = 0 -10 + 25b = -35 + 0 -10 + 25b = -35 Add '10' to each side of the equation. -10 + 10 + 25b = -35 + 10 Combine like terms: -10 + 10 = 0 0 + 25b = -35 + 10 25b = -35 + 10 Combine like terms: -35 + 10 = -25 25b = -25 Divide each side by '25'. b = -1 Simplifying b = -1
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