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Simplifying 4 + -5t + 9 = 5t + -9 Reorder the terms: 4 + 9 + -5t = 5t + -9 Combine like terms: 4 + 9 = 13 13 + -5t = 5t + -9 Reorder the terms: 13 + -5t = -9 + 5t Solving 13 + -5t = -9 + 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. 13 + -5t + -5t = -9 + 5t + -5t Combine like terms: -5t + -5t = -10t 13 + -10t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 13 + -10t = -9 + 0 13 + -10t = -9 Add '-13' to each side of the equation. 13 + -13 + -10t = -9 + -13 Combine like terms: 13 + -13 = 0 0 + -10t = -9 + -13 -10t = -9 + -13 Combine like terms: -9 + -13 = -22 -10t = -22 Divide each side by '-10'. t = 2.2 Simplifying t = 2.2
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