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Simplifying 2t + -7.8 = 6.7t + -36.94 Reorder the terms: -7.8 + 2t = 6.7t + -36.94 Reorder the terms: -7.8 + 2t = -36.94 + 6.7t Solving -7.8 + 2t = -36.94 + 6.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.7t' to each side of the equation. -7.8 + 2t + -6.7t = -36.94 + 6.7t + -6.7t Combine like terms: 2t + -6.7t = -4.7t -7.8 + -4.7t = -36.94 + 6.7t + -6.7t Combine like terms: 6.7t + -6.7t = 0.0 -7.8 + -4.7t = -36.94 + 0.0 -7.8 + -4.7t = -36.94 Add '7.8' to each side of the equation. -7.8 + 7.8 + -4.7t = -36.94 + 7.8 Combine like terms: -7.8 + 7.8 = 0.0 0.0 + -4.7t = -36.94 + 7.8 -4.7t = -36.94 + 7.8 Combine like terms: -36.94 + 7.8 = -29.14 -4.7t = -29.14 Divide each side by '-4.7'. t = 6.2 Simplifying t = 6.2
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