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Simplifying 8(b + -2) + -10 = 4(b + 3) Reorder the terms: 8(-2 + b) + -10 = 4(b + 3) (-2 * 8 + b * 8) + -10 = 4(b + 3) (-16 + 8b) + -10 = 4(b + 3) Reorder the terms: -16 + -10 + 8b = 4(b + 3) Combine like terms: -16 + -10 = -26 -26 + 8b = 4(b + 3) Reorder the terms: -26 + 8b = 4(3 + b) -26 + 8b = (3 * 4 + b * 4) -26 + 8b = (12 + 4b) Solving -26 + 8b = 12 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -26 + 8b + -4b = 12 + 4b + -4b Combine like terms: 8b + -4b = 4b -26 + 4b = 12 + 4b + -4b Combine like terms: 4b + -4b = 0 -26 + 4b = 12 + 0 -26 + 4b = 12 Add '26' to each side of the equation. -26 + 26 + 4b = 12 + 26 Combine like terms: -26 + 26 = 0 0 + 4b = 12 + 26 4b = 12 + 26 Combine like terms: 12 + 26 = 38 4b = 38 Divide each side by '4'. b = 9.5 Simplifying b = 9.5
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