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Simplifying -8.68 + -2.9t = 5.1(t + 4.1) Reorder the terms: -8.68 + -2.9t = 5.1(4.1 + t) -8.68 + -2.9t = (4.1 * 5.1 + t * 5.1) -8.68 + -2.9t = (20.91 + 5.1t) Solving -8.68 + -2.9t = 20.91 + 5.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.1t' to each side of the equation. -8.68 + -2.9t + -5.1t = 20.91 + 5.1t + -5.1t Combine like terms: -2.9t + -5.1t = -8t -8.68 + -8t = 20.91 + 5.1t + -5.1t Combine like terms: 5.1t + -5.1t = 0.0 -8.68 + -8t = 20.91 + 0.0 -8.68 + -8t = 20.91 Add '8.68' to each side of the equation. -8.68 + 8.68 + -8t = 20.91 + 8.68 Combine like terms: -8.68 + 8.68 = 0.00 0.00 + -8t = 20.91 + 8.68 -8t = 20.91 + 8.68 Combine like terms: 20.91 + 8.68 = 29.59 -8t = 29.59 Divide each side by '-8'. t = -3.69875 Simplifying t = -3.69875
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