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Simplifying H(4t) = 7(4t) + -6 Remove parenthesis around (4t) H * 4t = 7(4t) + -6 Reorder the terms for easier multiplication: 4H * t = 7(4t) + -6 Multiply H * t 4tH = 7(4t) + -6 Remove parenthesis around (4t) 4tH = 7 * 4t + -6 Multiply 7 * 4 4tH = 28t + -6 Reorder the terms: 4tH = -6 + 28t Solving 4tH = -6 + 28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. -28t + 4tH = -6 + 28t + -28t Combine like terms: 28t + -28t = 0 -28t + 4tH = -6 + 0 -28t + 4tH = -6 Reorder the terms: 6 + -28t + 4tH = -6 + 6 Combine like terms: -6 + 6 = 0 6 + -28t + 4tH = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -14t + 2tH) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -14t + 2tH)' equal to zero and attempt to solve: Simplifying 3 + -14t + 2tH = 0 Solving 3 + -14t + 2tH = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -14t + -3 + 2tH = 0 + -3 Reorder the terms: 3 + -3 + -14t + 2tH = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -14t + 2tH = 0 + -3 -14t + 2tH = 0 + -3 Combine like terms: 0 + -3 = -3 -14t + 2tH = -3 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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