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Simplifying 10b + -7 = 2(b + 1) Reorder the terms: -7 + 10b = 2(b + 1) Reorder the terms: -7 + 10b = 2(1 + b) -7 + 10b = (1 * 2 + b * 2) -7 + 10b = (2 + 2b) Solving -7 + 10b = 2 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -7 + 10b + -2b = 2 + 2b + -2b Combine like terms: 10b + -2b = 8b -7 + 8b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 -7 + 8b = 2 + 0 -7 + 8b = 2 Add '7' to each side of the equation. -7 + 7 + 8b = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 8b = 2 + 7 8b = 2 + 7 Combine like terms: 2 + 7 = 9 8b = 9 Divide each side by '8'. b = 1.125 Simplifying b = 1.125
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