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Simplifying -87 = -8(1 + 5b) + 1 -87 = (1 * -8 + 5b * -8) + 1 -87 = (-8 + -40b) + 1 Reorder the terms: -87 = -8 + 1 + -40b Combine like terms: -8 + 1 = -7 -87 = -7 + -40b Solving -87 = -7 + -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. -87 + 40b = -7 + -40b + 40b Combine like terms: -40b + 40b = 0 -87 + 40b = -7 + 0 -87 + 40b = -7 Add '87' to each side of the equation. -87 + 87 + 40b = -7 + 87 Combine like terms: -87 + 87 = 0 0 + 40b = -7 + 87 40b = -7 + 87 Combine like terms: -7 + 87 = 80 40b = 80 Divide each side by '40'. b = 2 Simplifying b = 2
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