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Simplifying 2b + -3(18) = 6(b + -4) Multiply -3 * 18 2b + -54 = 6(b + -4) Reorder the terms: -54 + 2b = 6(b + -4) Reorder the terms: -54 + 2b = 6(-4 + b) -54 + 2b = (-4 * 6 + b * 6) -54 + 2b = (-24 + 6b) Solving -54 + 2b = -24 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -54 + 2b + -6b = -24 + 6b + -6b Combine like terms: 2b + -6b = -4b -54 + -4b = -24 + 6b + -6b Combine like terms: 6b + -6b = 0 -54 + -4b = -24 + 0 -54 + -4b = -24 Add '54' to each side of the equation. -54 + 54 + -4b = -24 + 54 Combine like terms: -54 + 54 = 0 0 + -4b = -24 + 54 -4b = -24 + 54 Combine like terms: -24 + 54 = 30 -4b = 30 Divide each side by '-4'. b = -7.5 Simplifying b = -7.5
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