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Simplifying 7b + -8 = 57 + 10(b + -8) Reorder the terms: -8 + 7b = 57 + 10(b + -8) Reorder the terms: -8 + 7b = 57 + 10(-8 + b) -8 + 7b = 57 + (-8 * 10 + b * 10) -8 + 7b = 57 + (-80 + 10b) Combine like terms: 57 + -80 = -23 -8 + 7b = -23 + 10b Solving -8 + 7b = -23 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -8 + 7b + -10b = -23 + 10b + -10b Combine like terms: 7b + -10b = -3b -8 + -3b = -23 + 10b + -10b Combine like terms: 10b + -10b = 0 -8 + -3b = -23 + 0 -8 + -3b = -23 Add '8' to each side of the equation. -8 + 8 + -3b = -23 + 8 Combine like terms: -8 + 8 = 0 0 + -3b = -23 + 8 -3b = -23 + 8 Combine like terms: -23 + 8 = -15 -3b = -15 Divide each side by '-3'. b = 5 Simplifying b = 5
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