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Simplifying -1.54 + -4.6t = 9.7(t + 22) Reorder the terms: -1.54 + -4.6t = 9.7(22 + t) -1.54 + -4.6t = (22 * 9.7 + t * 9.7) -1.54 + -4.6t = (213.4 + 9.7t) Solving -1.54 + -4.6t = 213.4 + 9.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9.7t' to each side of the equation. -1.54 + -4.6t + -9.7t = 213.4 + 9.7t + -9.7t Combine like terms: -4.6t + -9.7t = -14.3t -1.54 + -14.3t = 213.4 + 9.7t + -9.7t Combine like terms: 9.7t + -9.7t = 0.0 -1.54 + -14.3t = 213.4 + 0.0 -1.54 + -14.3t = 213.4 Add '1.54' to each side of the equation. -1.54 + 1.54 + -14.3t = 213.4 + 1.54 Combine like terms: -1.54 + 1.54 = 0.00 0.00 + -14.3t = 213.4 + 1.54 -14.3t = 213.4 + 1.54 Combine like terms: 213.4 + 1.54 = 214.94 -14.3t = 214.94 Divide each side by '-14.3'. t = -15.03076923 Simplifying t = -15.03076923
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