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Simplifying -8.16 + -2.1t = 5.9(t + 4.8) Reorder the terms: -8.16 + -2.1t = 5.9(4.8 + t) -8.16 + -2.1t = (4.8 * 5.9 + t * 5.9) -8.16 + -2.1t = (28.32 + 5.9t) Solving -8.16 + -2.1t = 28.32 + 5.9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.9t' to each side of the equation. -8.16 + -2.1t + -5.9t = 28.32 + 5.9t + -5.9t Combine like terms: -2.1t + -5.9t = -8t -8.16 + -8t = 28.32 + 5.9t + -5.9t Combine like terms: 5.9t + -5.9t = 0.0 -8.16 + -8t = 28.32 + 0.0 -8.16 + -8t = 28.32 Add '8.16' to each side of the equation. -8.16 + 8.16 + -8t = 28.32 + 8.16 Combine like terms: -8.16 + 8.16 = 0.00 0.00 + -8t = 28.32 + 8.16 -8t = 28.32 + 8.16 Combine like terms: 28.32 + 8.16 = 36.48 -8t = 36.48 Divide each side by '-8'. t = -4.56 Simplifying t = -4.56
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