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Simplifying (2t + 10)(3s) = 180 Reorder the terms: (10 + 2t)(3s) = 180 Remove parenthesis around (3s) (10 + 2t) * 3s = 180 Reorder the terms for easier multiplication: 3s(10 + 2t) = 180 (10 * 3s + 2t * 3s) = 180 (30s + 6st) = 180 Solving 30s + 6st = 180 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Reorder the terms: -180 + 30s + 6st = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 30s + 6st = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-30 + 5s + st) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-30 + 5s + st)' equal to zero and attempt to solve: Simplifying -30 + 5s + st = 0 Solving -30 + 5s + st = 0 Move all terms containing s to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 5s + 30 + st = 0 + 30 Reorder the terms: -30 + 30 + 5s + st = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 5s + st = 0 + 30 5s + st = 0 + 30 Combine like terms: 0 + 30 = 30 5s + st = 30 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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