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Simplifying 4r(c + 12) = 2c + 18 Reorder the terms: 4r(12 + c) = 2c + 18 (12 * 4r + c * 4r) = 2c + 18 Reorder the terms: (4cr + 48r) = 2c + 18 (4cr + 48r) = 2c + 18 Reorder the terms: 4cr + 48r = 18 + 2c Solving 4cr + 48r = 18 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 4cr + -2c + 48r = 18 + 2c + -2c Reorder the terms: -2c + 4cr + 48r = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 -2c + 4cr + 48r = 18 + 0 -2c + 4cr + 48r = 18 Add '-48r' to each side of the equation. -2c + 4cr + 48r + -48r = 18 + -48r Combine like terms: 48r + -48r = 0 -2c + 4cr + 0 = 18 + -48r -2c + 4cr = 18 + -48r Reorder the terms: -18 + -2c + 4cr + 48r = 18 + -48r + -18 + 48r Reorder the terms: -18 + -2c + 4cr + 48r = 18 + -18 + -48r + 48r Combine like terms: 18 + -18 = 0 -18 + -2c + 4cr + 48r = 0 + -48r + 48r -18 + -2c + 4cr + 48r = -48r + 48r Combine like terms: -48r + 48r = 0 -18 + -2c + 4cr + 48r = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + -1c + 2cr + 24r) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -1c + 2cr + 24r)' equal to zero and attempt to solve: Simplifying -9 + -1c + 2cr + 24r = 0 Solving -9 + -1c + 2cr + 24r = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -1c + 2cr + 9 + 24r = 0 + 9 Reorder the terms: -9 + 9 + -1c + 2cr + 24r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1c + 2cr + 24r = 0 + 9 -1c + 2cr + 24r = 0 + 9 Combine like terms: 0 + 9 = 9 -1c + 2cr + 24r = 9 Add '-24r' to each side of the equation. -1c + 2cr + 24r + -24r = 9 + -24r Combine like terms: 24r + -24r = 0 -1c + 2cr + 0 = 9 + -24r -1c + 2cr = 9 + -24r 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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