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Simplifying -3(0.0714285t + -5) = 0.285714t + -6 + 0.5t Reorder the terms: -3(-5 + 0.0714285t) = 0.285714t + -6 + 0.5t (-5 * -3 + 0.0714285t * -3) = 0.285714t + -6 + 0.5t (15 + -0.2142855t) = 0.285714t + -6 + 0.5t Reorder the terms: 15 + -0.2142855t = -6 + 0.285714t + 0.5t Combine like terms: 0.285714t + 0.5t = 0.785714t 15 + -0.2142855t = -6 + 0.785714t Solving 15 + -0.2142855t = -6 + 0.785714t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.785714t' to each side of the equation. 15 + -0.2142855t + -0.785714t = -6 + 0.785714t + -0.785714t Combine like terms: -0.2142855t + -0.785714t = -0.9999995t 15 + -0.9999995t = -6 + 0.785714t + -0.785714t Combine like terms: 0.785714t + -0.785714t = 0.000000 15 + -0.9999995t = -6 + 0.000000 15 + -0.9999995t = -6 Add '-15' to each side of the equation. 15 + -15 + -0.9999995t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -0.9999995t = -6 + -15 -0.9999995t = -6 + -15 Combine like terms: -6 + -15 = -21 -0.9999995t = -21 Divide each side by '-0.9999995'. t = 21.0000105 Simplifying t = 21.0000105
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