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Simplifying 36t + 2.4 = 44(t + -1) Reorder the terms: 2.4 + 36t = 44(t + -1) Reorder the terms: 2.4 + 36t = 44(-1 + t) 2.4 + 36t = (-1 * 44 + t * 44) 2.4 + 36t = (-44 + 44t) Solving 2.4 + 36t = -44 + 44t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-44t' to each side of the equation. 2.4 + 36t + -44t = -44 + 44t + -44t Combine like terms: 36t + -44t = -8t 2.4 + -8t = -44 + 44t + -44t Combine like terms: 44t + -44t = 0 2.4 + -8t = -44 + 0 2.4 + -8t = -44 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -8t = -44 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -8t = -44 + -2.4 -8t = -44 + -2.4 Combine like terms: -44 + -2.4 = -46.4 -8t = -46.4 Divide each side by '-8'. t = 5.8 Simplifying t = 5.8
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