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Simplifying 10c(h + 1) + -4 = 76 Reorder the terms: 10c(1 + h) + -4 = 76 (1 * 10c + h * 10c) + -4 = 76 (10c + 10ch) + -4 = 76 Reorder the terms: -4 + 10c + 10ch = 76 Solving -4 + 10c + 10ch = 76 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 10c + 4 + 10ch = 76 + 4 Reorder the terms: -4 + 4 + 10c + 10ch = 76 + 4 Combine like terms: -4 + 4 = 0 0 + 10c + 10ch = 76 + 4 10c + 10ch = 76 + 4 Combine like terms: 76 + 4 = 80 10c + 10ch = 80 Reorder the terms: -80 + 10c + 10ch = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 10c + 10ch = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-8 + c + ch) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-8 + c + ch)' equal to zero and attempt to solve: Simplifying -8 + c + ch = 0 Solving -8 + c + ch = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + c + 8 + ch = 0 + 8 Reorder the terms: -8 + 8 + c + ch = 0 + 8 Combine like terms: -8 + 8 = 0 0 + c + ch = 0 + 8 c + ch = 0 + 8 Combine like terms: 0 + 8 = 8 c + ch = 8 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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