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Simplifying -59 = -10(b + -5) + 1 Reorder the terms: -59 = -10(-5 + b) + 1 -59 = (-5 * -10 + b * -10) + 1 -59 = (50 + -10b) + 1 Reorder the terms: -59 = 50 + 1 + -10b Combine like terms: 50 + 1 = 51 -59 = 51 + -10b Solving -59 = 51 + -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. -59 + 10b = 51 + -10b + 10b Combine like terms: -10b + 10b = 0 -59 + 10b = 51 + 0 -59 + 10b = 51 Add '59' to each side of the equation. -59 + 59 + 10b = 51 + 59 Combine like terms: -59 + 59 = 0 0 + 10b = 51 + 59 10b = 51 + 59 Combine like terms: 51 + 59 = 110 10b = 110 Divide each side by '10'. b = 11 Simplifying b = 11
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