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Simplifying -7r(z + -6) = -70 Reorder the terms: -7r(-6 + z) = -70 (-6 * -7r + z * -7r) = -70 (42r + -7rz) = -70 Solving 42r + -7rz = -70 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Reorder the terms: 70 + 42r + -7rz = -70 + 70 Combine like terms: -70 + 70 = 0 70 + 42r + -7rz = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(10 + 6r + -1rz) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(10 + 6r + -1rz)' equal to zero and attempt to solve: Simplifying 10 + 6r + -1rz = 0 Solving 10 + 6r + -1rz = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6r + -10 + -1rz = 0 + -10 Reorder the terms: 10 + -10 + 6r + -1rz = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6r + -1rz = 0 + -10 6r + -1rz = 0 + -10 Combine like terms: 0 + -10 = -10 6r + -1rz = -10 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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