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Simplifying -2rx + -7(r + -7) = 112 Reorder the terms: -2rx + -7(-7 + r) = 112 -2rx + (-7 * -7 + r * -7) = 112 -2rx + (49 + -7r) = 112 Reorder the terms: 49 + -7r + -2rx = 112 Solving 49 + -7r + -2rx = 112 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -7r + -49 + -2rx = 112 + -49 Reorder the terms: 49 + -49 + -7r + -2rx = 112 + -49 Combine like terms: 49 + -49 = 0 0 + -7r + -2rx = 112 + -49 -7r + -2rx = 112 + -49 Combine like terms: 112 + -49 = 63 -7r + -2rx = 63 Reorder the terms: -63 + -7r + -2rx = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + -7r + -2rx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(63 + 7r + 2rx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(63 + 7r + 2rx)' equal to zero and attempt to solve: Simplifying 63 + 7r + 2rx = 0 Solving 63 + 7r + 2rx = 0 Move all terms containing r to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + 7r + -63 + 2rx = 0 + -63 Reorder the terms: 63 + -63 + 7r + 2rx = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 7r + 2rx = 0 + -63 7r + 2rx = 0 + -63 Combine like terms: 0 + -63 = -63 7r + 2rx = -63 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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