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Simplifying -1x(2r + 8) = -10(r + -3) Reorder the terms: -1x(8 + 2r) = -10(r + -3) (8 * -1x + 2r * -1x) = -10(r + -3) Reorder the terms: (-2rx + -8x) = -10(r + -3) (-2rx + -8x) = -10(r + -3) Reorder the terms: -2rx + -8x = -10(-3 + r) -2rx + -8x = (-3 * -10 + r * -10) -2rx + -8x = (30 + -10r) Solving -2rx + -8x = 30 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -2rx + 10r + -8x = 30 + -10r + 10r Reorder the terms: 10r + -2rx + -8x = 30 + -10r + 10r Combine like terms: -10r + 10r = 0 10r + -2rx + -8x = 30 + 0 10r + -2rx + -8x = 30 Add '8x' to each side of the equation. 10r + -2rx + -8x + 8x = 30 + 8x Combine like terms: -8x + 8x = 0 10r + -2rx + 0 = 30 + 8x 10r + -2rx = 30 + 8x Reorder the terms: -30 + 10r + -2rx + -8x = 30 + 8x + -30 + -8x Reorder the terms: -30 + 10r + -2rx + -8x = 30 + -30 + 8x + -8x Combine like terms: 30 + -30 = 0 -30 + 10r + -2rx + -8x = 0 + 8x + -8x -30 + 10r + -2rx + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -30 + 10r + -2rx + -8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 5r + -1rx + -4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 5r + -1rx + -4x)' equal to zero and attempt to solve: Simplifying -15 + 5r + -1rx + -4x = 0 Solving -15 + 5r + -1rx + -4x = 0 Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5r + -1rx + 15 + -4x = 0 + 15 Reorder the terms: -15 + 15 + 5r + -1rx + -4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5r + -1rx + -4x = 0 + 15 5r + -1rx + -4x = 0 + 15 Combine like terms: 0 + 15 = 15 5r + -1rx + -4x = 15 Add '4x' to each side of the equation. 5r + -1rx + -4x + 4x = 15 + 4x Combine like terms: -4x + 4x = 0 5r + -1rx + 0 = 15 + 4x 5r + -1rx = 15 + 4x 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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