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Simplifying 4b + -5 + -3b(w + 6) = 7b + w Reorder the terms: 4b + -5 + -3b(6 + w) = 7b + w 4b + -5 + (6 * -3b + w * -3b) = 7b + w 4b + -5 + (-18b + -3bw) = 7b + w Reorder the terms: -5 + 4b + -18b + -3bw = 7b + w Combine like terms: 4b + -18b = -14b -5 + -14b + -3bw = 7b + w Solving -5 + -14b + -3bw = 7b + w 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. -5 + -14b + -7b + -3bw = 7b + -7b + w Combine like terms: -14b + -7b = -21b -5 + -21b + -3bw = 7b + -7b + w Combine like terms: 7b + -7b = 0 -5 + -21b + -3bw = 0 + w -5 + -21b + -3bw = w Add '5' to each side of the equation. -5 + -21b + 5 + -3bw = 5 + w Reorder the terms: -5 + 5 + -21b + -3bw = 5 + w Combine like terms: -5 + 5 = 0 0 + -21b + -3bw = 5 + w -21b + -3bw = 5 + w Reorder the terms: -5 + -21b + -3bw + -1w = 5 + w + -5 + -1w Reorder the terms: -5 + -21b + -3bw + -1w = 5 + -5 + w + -1w Combine like terms: 5 + -5 = 0 -5 + -21b + -3bw + -1w = 0 + w + -1w -5 + -21b + -3bw + -1w = w + -1w Combine like terms: w + -1w = 0 -5 + -21b + -3bw + -1w = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 21b + 3bw + w) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 21b + 3bw + w)' equal to zero and attempt to solve: Simplifying 5 + 21b + 3bw + w = 0 Solving 5 + 21b + 3bw + w = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 21b + 3bw + -5 + w = 0 + -5 Reorder the terms: 5 + -5 + 21b + 3bw + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 21b + 3bw + w = 0 + -5 21b + 3bw + w = 0 + -5 Combine like terms: 0 + -5 = -5 21b + 3bw + w = -5 Add '-1w' to each side of the equation. 21b + 3bw + w + -1w = -5 + -1w Combine like terms: w + -1w = 0 21b + 3bw + 0 = -5 + -1w 21b + 3bw = -5 + -1w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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