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Simplifying 2t + 48 = 7t + -21.4 Reorder the terms: 48 + 2t = 7t + -21.4 Reorder the terms: 48 + 2t = -21.4 + 7t Solving 48 + 2t = -21.4 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 48 + 2t + -7t = -21.4 + 7t + -7t Combine like terms: 2t + -7t = -5t 48 + -5t = -21.4 + 7t + -7t Combine like terms: 7t + -7t = 0 48 + -5t = -21.4 + 0 48 + -5t = -21.4 Add '-48' to each side of the equation. 48 + -48 + -5t = -21.4 + -48 Combine like terms: 48 + -48 = 0 0 + -5t = -21.4 + -48 -5t = -21.4 + -48 Combine like terms: -21.4 + -48 = -69.4 -5t = -69.4 Divide each side by '-5'. t = 13.88 Simplifying t = 13.88
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