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Simplifying 0.5t + 0.25(t + 16) = 4(-3.1x + 2.68) Reorder the terms: 0.5t + 0.25(16 + t) = 4(-3.1x + 2.68) 0.5t + (16 * 0.25 + t * 0.25) = 4(-3.1x + 2.68) 0.5t + (4 + 0.25t) = 4(-3.1x + 2.68) Reorder the terms: 4 + 0.5t + 0.25t = 4(-3.1x + 2.68) Combine like terms: 0.5t + 0.25t = 0.75t 4 + 0.75t = 4(-3.1x + 2.68) Reorder the terms: 4 + 0.75t = 4(2.68 + -3.1x) 4 + 0.75t = (2.68 * 4 + -3.1x * 4) 4 + 0.75t = (10.72 + -12.4x) Solving 4 + 0.75t = 10.72 + -12.4x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.75t = 10.72 + -4 + -12.4x Combine like terms: 4 + -4 = 0 0 + 0.75t = 10.72 + -4 + -12.4x 0.75t = 10.72 + -4 + -12.4x Combine like terms: 10.72 + -4 = 6.72 0.75t = 6.72 + -12.4x Divide each side by '0.75'. t = 8.96 + -16.53333333x Simplifying t = 8.96 + -16.53333333x
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