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Simplifying 40 = 68 + -20log(t + 1) Reorder the terms: 40 = 68 + -20glo(1 + t) 40 = 68 + (1 * -20glo + t * -20glo) 40 = 68 + (-20glo + -20glot) Solving 40 = 68 + -20glo + -20glot Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '20glo' to each side of the equation. 40 + 20glo = 68 + -20glo + 20glo + -20glot Combine like terms: -20glo + 20glo = 0 40 + 20glo = 68 + 0 + -20glot 40 + 20glo = 68 + -20glot Add '20glot' to each side of the equation. 40 + 20glo + 20glot = 68 + -20glot + 20glot Combine like terms: -20glot + 20glot = 0 40 + 20glo + 20glot = 68 + 0 40 + 20glo + 20glot = 68 Add '-40' to each side of the equation. 40 + 20glo + -40 + 20glot = 68 + -40 Reorder the terms: 40 + -40 + 20glo + 20glot = 68 + -40 Combine like terms: 40 + -40 = 0 0 + 20glo + 20glot = 68 + -40 20glo + 20glot = 68 + -40 Combine like terms: 68 + -40 = 28 20glo + 20glot = 28 Reorder the terms: -28 + 20glo + 20glot = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 20glo + 20glot = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + 5glo + 5glot) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + 5glo + 5glot)' equal to zero and attempt to solve: Simplifying -7 + 5glo + 5glot = 0 Solving -7 + 5glo + 5glot = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 5glo + 7 + 5glot = 0 + 7 Reorder the terms: -7 + 7 + 5glo + 5glot = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5glo + 5glot = 0 + 7 5glo + 5glot = 0 + 7 Combine like terms: 0 + 7 = 7 5glo + 5glot = 7 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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