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Simplifying 500 = 45xt + 35(12 + -1t) 500 = 45tx + (12 * 35 + -1t * 35) 500 = 45tx + (420 + -35t) Reorder the terms: 500 = 420 + -35t + 45tx Solving 500 = 420 + -35t + 45tx Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '35t' to each side of the equation. 500 + 35t = 420 + -35t + 35t + 45tx Combine like terms: -35t + 35t = 0 500 + 35t = 420 + 0 + 45tx 500 + 35t = 420 + 45tx Add '-45tx' to each side of the equation. 500 + 35t + -45tx = 420 + 45tx + -45tx Combine like terms: 45tx + -45tx = 0 500 + 35t + -45tx = 420 + 0 500 + 35t + -45tx = 420 Add '-500' to each side of the equation. 500 + 35t + -500 + -45tx = 420 + -500 Reorder the terms: 500 + -500 + 35t + -45tx = 420 + -500 Combine like terms: 500 + -500 = 0 0 + 35t + -45tx = 420 + -500 35t + -45tx = 420 + -500 Combine like terms: 420 + -500 = -80 35t + -45tx = -80 Reorder the terms: 80 + 35t + -45tx = -80 + 80 Combine like terms: -80 + 80 = 0 80 + 35t + -45tx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(16 + 7t + -9tx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(16 + 7t + -9tx)' equal to zero and attempt to solve: Simplifying 16 + 7t + -9tx = 0 Solving 16 + 7t + -9tx = 0 Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 7t + -16 + -9tx = 0 + -16 Reorder the terms: 16 + -16 + 7t + -9tx = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7t + -9tx = 0 + -16 7t + -9tx = 0 + -16 Combine like terms: 0 + -16 = -16 7t + -9tx = -16 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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