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Simplifying 3(b + -10) = -7 + 8(-1b + 4) Reorder the terms: 3(-10 + b) = -7 + 8(-1b + 4) (-10 * 3 + b * 3) = -7 + 8(-1b + 4) (-30 + 3b) = -7 + 8(-1b + 4) Reorder the terms: -30 + 3b = -7 + 8(4 + -1b) -30 + 3b = -7 + (4 * 8 + -1b * 8) -30 + 3b = -7 + (32 + -8b) Combine like terms: -7 + 32 = 25 -30 + 3b = 25 + -8b Solving -30 + 3b = 25 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -30 + 3b + 8b = 25 + -8b + 8b Combine like terms: 3b + 8b = 11b -30 + 11b = 25 + -8b + 8b Combine like terms: -8b + 8b = 0 -30 + 11b = 25 + 0 -30 + 11b = 25 Add '30' to each side of the equation. -30 + 30 + 11b = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 11b = 25 + 30 11b = 25 + 30 Combine like terms: 25 + 30 = 55 11b = 55 Divide each side by '11'. b = 5 Simplifying b = 5
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