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Simplifying 0.01(t + -0.2) + 0.09t + -0.08 = 0 Reorder the terms: 0.01(-0.2 + t) + 0.09t + -0.08 = 0 (-0.2 * 0.01 + t * 0.01) + 0.09t + -0.08 = 0 (-0.002 + 0.01t) + 0.09t + -0.08 = 0 Reorder the terms: -0.002 + -0.08 + 0.01t + 0.09t = 0 Combine like terms: -0.002 + -0.08 = -0.082 -0.082 + 0.01t + 0.09t = 0 Combine like terms: 0.01t + 0.09t = 0.1t -0.082 + 0.1t = 0 Solving -0.082 + 0.1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.082' to each side of the equation. -0.082 + 0.082 + 0.1t = 0 + 0.082 Combine like terms: -0.082 + 0.082 = 0.000 0.000 + 0.1t = 0 + 0.082 0.1t = 0 + 0.082 Combine like terms: 0 + 0.082 = 0.082 0.1t = 0.082 Divide each side by '0.1'. t = 0.82 Simplifying t = 0.82
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