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Simplifying -1b + -33 = 6 + -6(b + 4) Reorder the terms: -33 + -1b = 6 + -6(b + 4) Reorder the terms: -33 + -1b = 6 + -6(4 + b) -33 + -1b = 6 + (4 * -6 + b * -6) -33 + -1b = 6 + (-24 + -6b) Combine like terms: 6 + -24 = -18 -33 + -1b = -18 + -6b Solving -33 + -1b = -18 + -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. -33 + -1b + 6b = -18 + -6b + 6b Combine like terms: -1b + 6b = 5b -33 + 5b = -18 + -6b + 6b Combine like terms: -6b + 6b = 0 -33 + 5b = -18 + 0 -33 + 5b = -18 Add '33' to each side of the equation. -33 + 33 + 5b = -18 + 33 Combine like terms: -33 + 33 = 0 0 + 5b = -18 + 33 5b = -18 + 33 Combine like terms: -18 + 33 = 15 5b = 15 Divide each side by '5'. b = 3 Simplifying b = 3
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