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Simplifying 3(b + -6) = 7b + 8 Reorder the terms: 3(-6 + b) = 7b + 8 (-6 * 3 + b * 3) = 7b + 8 (-18 + 3b) = 7b + 8 Reorder the terms: -18 + 3b = 8 + 7b Solving -18 + 3b = 8 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -18 + 3b + -7b = 8 + 7b + -7b Combine like terms: 3b + -7b = -4b -18 + -4b = 8 + 7b + -7b Combine like terms: 7b + -7b = 0 -18 + -4b = 8 + 0 -18 + -4b = 8 Add '18' to each side of the equation. -18 + 18 + -4b = 8 + 18 Combine like terms: -18 + 18 = 0 0 + -4b = 8 + 18 -4b = 8 + 18 Combine like terms: 8 + 18 = 26 -4b = 26 Divide each side by '-4'. b = -6.5 Simplifying b = -6.5
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