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Simplifying 3(b + -6) = 4(b + 7) Reorder the terms: 3(-6 + b) = 4(b + 7) (-6 * 3 + b * 3) = 4(b + 7) (-18 + 3b) = 4(b + 7) Reorder the terms: -18 + 3b = 4(7 + b) -18 + 3b = (7 * 4 + b * 4) -18 + 3b = (28 + 4b) Solving -18 + 3b = 28 + 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. -18 + 3b + -4b = 28 + 4b + -4b Combine like terms: 3b + -4b = -1b -18 + -1b = 28 + 4b + -4b Combine like terms: 4b + -4b = 0 -18 + -1b = 28 + 0 -18 + -1b = 28 Add '18' to each side of the equation. -18 + 18 + -1b = 28 + 18 Combine like terms: -18 + 18 = 0 0 + -1b = 28 + 18 -1b = 28 + 18 Combine like terms: 28 + 18 = 46 -1b = 46 Divide each side by '-1'. b = -46 Simplifying b = -46
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