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Simplifying 1.2t + 8 = 5.2t + -10 Reorder the terms: 8 + 1.2t = 5.2t + -10 Reorder the terms: 8 + 1.2t = -10 + 5.2t Solving 8 + 1.2t = -10 + 5.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.2t' to each side of the equation. 8 + 1.2t + -5.2t = -10 + 5.2t + -5.2t Combine like terms: 1.2t + -5.2t = -4t 8 + -4t = -10 + 5.2t + -5.2t Combine like terms: 5.2t + -5.2t = 0.0 8 + -4t = -10 + 0.0 8 + -4t = -10 Add '-8' to each side of the equation. 8 + -8 + -4t = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = -10 + -8 -4t = -10 + -8 Combine like terms: -10 + -8 = -18 -4t = -18 Divide each side by '-4'. t = 4.5 Simplifying t = 4.5
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