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Simplifying (-10t + 6) = (-5t + 114) Reorder the terms: (6 + -10t) = (-5t + 114) Remove parenthesis around (6 + -10t) 6 + -10t = (-5t + 114) Reorder the terms: 6 + -10t = (114 + -5t) Remove parenthesis around (114 + -5t) 6 + -10t = 114 + -5t Solving 6 + -10t = 114 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 6 + -10t + 5t = 114 + -5t + 5t Combine like terms: -10t + 5t = -5t 6 + -5t = 114 + -5t + 5t Combine like terms: -5t + 5t = 0 6 + -5t = 114 + 0 6 + -5t = 114 Add '-6' to each side of the equation. 6 + -6 + -5t = 114 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = 114 + -6 -5t = 114 + -6 Combine like terms: 114 + -6 = 108 -5t = 108 Divide each side by '-5'. t = -21.6 Simplifying t = -21.6
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