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Simplifying 4(5t + -7) = 10th + 2 Reorder the terms: 4(-7 + 5t) = 10th + 2 (-7 * 4 + 5t * 4) = 10th + 2 (-28 + 20t) = 10th + 2 Reorder the terms: -28 + 20t = 2 + 10ht Solving -28 + 20t = 2 + 10ht Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10ht' to each side of the equation. -28 + -10ht + 20t = 2 + 10ht + -10ht Combine like terms: 10ht + -10ht = 0 -28 + -10ht + 20t = 2 + 0 -28 + -10ht + 20t = 2 Add '28' to each side of the equation. -28 + -10ht + 28 + 20t = 2 + 28 Reorder the terms: -28 + 28 + -10ht + 20t = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -10ht + 20t = 2 + 28 -10ht + 20t = 2 + 28 Combine like terms: 2 + 28 = 30 -10ht + 20t = 30 Reorder the terms: -30 + -10ht + 20t = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -10ht + 20t = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-3 + -1ht + 2t) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-3 + -1ht + 2t)' equal to zero and attempt to solve: Simplifying -3 + -1ht + 2t = 0 Solving -3 + -1ht + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1ht + 3 + 2t = 0 + 3 Reorder the terms: -3 + 3 + -1ht + 2t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1ht + 2t = 0 + 3 -1ht + 2t = 0 + 3 Combine like terms: 0 + 3 = 3 -1ht + 2t = 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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