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Simplifying -3 + t(0.5) = 20 + -10(t + 0.5) Reorder the terms for easier multiplication: -3 + 0.5t = 20 + -10(t + 0.5) Reorder the terms: -3 + 0.5t = 20 + -10(0.5 + t) -3 + 0.5t = 20 + (0.5 * -10 + t * -10) -3 + 0.5t = 20 + (-5 + -10t) Combine like terms: 20 + -5 = 15 -3 + 0.5t = 15 + -10t Solving -3 + 0.5t = 15 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. -3 + 0.5t + 10t = 15 + -10t + 10t Combine like terms: 0.5t + 10t = 10.5t -3 + 10.5t = 15 + -10t + 10t Combine like terms: -10t + 10t = 0 -3 + 10.5t = 15 + 0 -3 + 10.5t = 15 Add '3' to each side of the equation. -3 + 3 + 10.5t = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 10.5t = 15 + 3 10.5t = 15 + 3 Combine like terms: 15 + 3 = 18 10.5t = 18 Divide each side by '10.5'. t = 1.714285714 Simplifying t = 1.714285714
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