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Simplifying 7(4b + -1) + b = -33 + 3b Reorder the terms: 7(-1 + 4b) + b = -33 + 3b (-1 * 7 + 4b * 7) + b = -33 + 3b (-7 + 28b) + b = -33 + 3b Combine like terms: 28b + b = 29b -7 + 29b = -33 + 3b Solving -7 + 29b = -33 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -7 + 29b + -3b = -33 + 3b + -3b Combine like terms: 29b + -3b = 26b -7 + 26b = -33 + 3b + -3b Combine like terms: 3b + -3b = 0 -7 + 26b = -33 + 0 -7 + 26b = -33 Add '7' to each side of the equation. -7 + 7 + 26b = -33 + 7 Combine like terms: -7 + 7 = 0 0 + 26b = -33 + 7 26b = -33 + 7 Combine like terms: -33 + 7 = -26 26b = -26 Divide each side by '26'. b = -1 Simplifying b = -1
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