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Simplifying (6r3 + 2r4) + (3r4 + -1r3) = 0 Remove parenthesis around (6r3 + 2r4) 6r3 + 2r4 + (3r4 + -1r3) = 0 Reorder the terms: 6r3 + 2r4 + (-1r3 + 3r4) = 0 Remove parenthesis around (-1r3 + 3r4) 6r3 + 2r4 + -1r3 + 3r4 = 0 Reorder the terms: 6r3 + -1r3 + 2r4 + 3r4 = 0 Combine like terms: 6r3 + -1r3 = 5r3 5r3 + 2r4 + 3r4 = 0 Combine like terms: 2r4 + 3r4 = 5r4 5r3 + 5r4 = 0 Solving 5r3 + 5r4 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r3'. 5r3(1 + r) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'r3' equal to zero and attempt to solve: Simplifying r3 = 0 Solving r3 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Solution
r = {-1}
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