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Simplifying 0.06(t + -9) = 0.07t + 0.27 Reorder the terms: 0.06(-9 + t) = 0.07t + 0.27 (-9 * 0.06 + t * 0.06) = 0.07t + 0.27 (-0.54 + 0.06t) = 0.07t + 0.27 Reorder the terms: -0.54 + 0.06t = 0.27 + 0.07t Solving -0.54 + 0.06t = 0.27 + 0.07t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.07t' to each side of the equation. -0.54 + 0.06t + -0.07t = 0.27 + 0.07t + -0.07t Combine like terms: 0.06t + -0.07t = -0.01t -0.54 + -0.01t = 0.27 + 0.07t + -0.07t Combine like terms: 0.07t + -0.07t = 0.00 -0.54 + -0.01t = 0.27 + 0.00 -0.54 + -0.01t = 0.27 Add '0.54' to each side of the equation. -0.54 + 0.54 + -0.01t = 0.27 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + -0.01t = 0.27 + 0.54 -0.01t = 0.27 + 0.54 Combine like terms: 0.27 + 0.54 = 0.81 -0.01t = 0.81 Divide each side by '-0.01'. t = -81 Simplifying t = -81
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