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Simplifying 10(w + -4) = 4(w + 4) + 4wq Reorder the terms: 10(-4 + w) = 4(w + 4) + 4wq (-4 * 10 + w * 10) = 4(w + 4) + 4wq (-40 + 10w) = 4(w + 4) + 4wq Reorder the terms: -40 + 10w = 4(4 + w) + 4wq -40 + 10w = (4 * 4 + w * 4) + 4wq -40 + 10w = (16 + 4w) + 4wq Reorder the terms: -40 + 10w = 16 + 4qw + 4w Solving -40 + 10w = 16 + 4qw + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4qw' to each side of the equation. -40 + -4qw + 10w = 16 + 4qw + -4qw + 4w Combine like terms: 4qw + -4qw = 0 -40 + -4qw + 10w = 16 + 0 + 4w -40 + -4qw + 10w = 16 + 4w Add '-4w' to each side of the equation. -40 + -4qw + 10w + -4w = 16 + 4w + -4w Combine like terms: 10w + -4w = 6w -40 + -4qw + 6w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 -40 + -4qw + 6w = 16 + 0 -40 + -4qw + 6w = 16 Add '40' to each side of the equation. -40 + -4qw + 40 + 6w = 16 + 40 Reorder the terms: -40 + 40 + -4qw + 6w = 16 + 40 Combine like terms: -40 + 40 = 0 0 + -4qw + 6w = 16 + 40 -4qw + 6w = 16 + 40 Combine like terms: 16 + 40 = 56 -4qw + 6w = 56 Reorder the terms: -56 + -4qw + 6w = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + -4qw + 6w = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + -2qw + 3w) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-28 + -2qw + 3w)' equal to zero and attempt to solve: Simplifying -28 + -2qw + 3w = 0 Solving -28 + -2qw + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -2qw + 28 + 3w = 0 + 28 Reorder the terms: -28 + 28 + -2qw + 3w = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -2qw + 3w = 0 + 28 -2qw + 3w = 0 + 28 Combine like terms: 0 + 28 = 28 -2qw + 3w = 28 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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