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Simplifying 5(0.6t + -0.2) = 5.2t + -0.01 Reorder the terms: 5(-0.2 + 0.6t) = 5.2t + -0.01 (-0.2 * 5 + 0.6t * 5) = 5.2t + -0.01 (-1 + 3t) = 5.2t + -0.01 Reorder the terms: -1 + 3t = -0.01 + 5.2t Solving -1 + 3t = -0.01 + 5.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.2t' to each side of the equation. -1 + 3t + -5.2t = -0.01 + 5.2t + -5.2t Combine like terms: 3t + -5.2t = -2.2t -1 + -2.2t = -0.01 + 5.2t + -5.2t Combine like terms: 5.2t + -5.2t = 0.0 -1 + -2.2t = -0.01 + 0.0 -1 + -2.2t = -0.01 Add '1' to each side of the equation. -1 + 1 + -2.2t = -0.01 + 1 Combine like terms: -1 + 1 = 0 0 + -2.2t = -0.01 + 1 -2.2t = -0.01 + 1 Combine like terms: -0.01 + 1 = 0.99 -2.2t = 0.99 Divide each side by '-2.2'. t = -0.45 Simplifying t = -0.45
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