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Simplifying 1.2(2t + -3) = 2.3(t + -1) Reorder the terms: 1.2(-3 + 2t) = 2.3(t + -1) (-3 * 1.2 + 2t * 1.2) = 2.3(t + -1) (-3.6 + 2.4t) = 2.3(t + -1) Reorder the terms: -3.6 + 2.4t = 2.3(-1 + t) -3.6 + 2.4t = (-1 * 2.3 + t * 2.3) -3.6 + 2.4t = (-2.3 + 2.3t) Solving -3.6 + 2.4t = -2.3 + 2.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.3t' to each side of the equation. -3.6 + 2.4t + -2.3t = -2.3 + 2.3t + -2.3t Combine like terms: 2.4t + -2.3t = 0.1t -3.6 + 0.1t = -2.3 + 2.3t + -2.3t Combine like terms: 2.3t + -2.3t = 0.0 -3.6 + 0.1t = -2.3 + 0.0 -3.6 + 0.1t = -2.3 Add '3.6' to each side of the equation. -3.6 + 3.6 + 0.1t = -2.3 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.1t = -2.3 + 3.6 0.1t = -2.3 + 3.6 Combine like terms: -2.3 + 3.6 = 1.3 0.1t = 1.3 Divide each side by '0.1'. t = 13 Simplifying t = 13
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