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Simplifying -57 = -8(5b + -4) + 3(b + -5) Reorder the terms: -57 = -8(-4 + 5b) + 3(b + -5) -57 = (-4 * -8 + 5b * -8) + 3(b + -5) -57 = (32 + -40b) + 3(b + -5) Reorder the terms: -57 = 32 + -40b + 3(-5 + b) -57 = 32 + -40b + (-5 * 3 + b * 3) -57 = 32 + -40b + (-15 + 3b) Reorder the terms: -57 = 32 + -15 + -40b + 3b Combine like terms: 32 + -15 = 17 -57 = 17 + -40b + 3b Combine like terms: -40b + 3b = -37b -57 = 17 + -37b Solving -57 = 17 + -37b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '37b' to each side of the equation. -57 + 37b = 17 + -37b + 37b Combine like terms: -37b + 37b = 0 -57 + 37b = 17 + 0 -57 + 37b = 17 Add '57' to each side of the equation. -57 + 57 + 37b = 17 + 57 Combine like terms: -57 + 57 = 0 0 + 37b = 17 + 57 37b = 17 + 57 Combine like terms: 17 + 57 = 74 37b = 74 Divide each side by '37'. b = 2 Simplifying b = 2
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