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Simplifying 9(t + -4) + -2t = 5(t + -2) Reorder the terms: 9(-4 + t) + -2t = 5(t + -2) (-4 * 9 + t * 9) + -2t = 5(t + -2) (-36 + 9t) + -2t = 5(t + -2) Combine like terms: 9t + -2t = 7t -36 + 7t = 5(t + -2) Reorder the terms: -36 + 7t = 5(-2 + t) -36 + 7t = (-2 * 5 + t * 5) -36 + 7t = (-10 + 5t) Solving -36 + 7t = -10 + 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. -36 + 7t + -5t = -10 + 5t + -5t Combine like terms: 7t + -5t = 2t -36 + 2t = -10 + 5t + -5t Combine like terms: 5t + -5t = 0 -36 + 2t = -10 + 0 -36 + 2t = -10 Add '36' to each side of the equation. -36 + 36 + 2t = -10 + 36 Combine like terms: -36 + 36 = 0 0 + 2t = -10 + 36 2t = -10 + 36 Combine like terms: -10 + 36 = 26 2t = 26 Divide each side by '2'. t = 13 Simplifying t = 13
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