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Simplifying -21.36 + -2.3t = 4.9(t + 2.4) Reorder the terms: -21.36 + -2.3t = 4.9(2.4 + t) -21.36 + -2.3t = (2.4 * 4.9 + t * 4.9) -21.36 + -2.3t = (11.76 + 4.9t) Solving -21.36 + -2.3t = 11.76 + 4.9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.9t' to each side of the equation. -21.36 + -2.3t + -4.9t = 11.76 + 4.9t + -4.9t Combine like terms: -2.3t + -4.9t = -7.2t -21.36 + -7.2t = 11.76 + 4.9t + -4.9t Combine like terms: 4.9t + -4.9t = 0.0 -21.36 + -7.2t = 11.76 + 0.0 -21.36 + -7.2t = 11.76 Add '21.36' to each side of the equation. -21.36 + 21.36 + -7.2t = 11.76 + 21.36 Combine like terms: -21.36 + 21.36 = 0.00 0.00 + -7.2t = 11.76 + 21.36 -7.2t = 11.76 + 21.36 Combine like terms: 11.76 + 21.36 = 33.12 -7.2t = 33.12 Divide each side by '-7.2'. t = -4.6 Simplifying t = -4.6
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