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Simplifying -1.25 + 4 = 0.75(t + -8) Combine like terms: -1.25 + 4 = 2.75 2.75 = 0.75(t + -8) Reorder the terms: 2.75 = 0.75(-8 + t) 2.75 = (-8 * 0.75 + t * 0.75) 2.75 = (-6 + 0.75t) Solving 2.75 = -6 + 0.75t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.75t' to each side of the equation. 2.75 + -0.75t = -6 + 0.75t + -0.75t Combine like terms: 0.75t + -0.75t = 0.00 2.75 + -0.75t = -6 + 0.00 2.75 + -0.75t = -6 Add '-2.75' to each side of the equation. 2.75 + -2.75 + -0.75t = -6 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -0.75t = -6 + -2.75 -0.75t = -6 + -2.75 Combine like terms: -6 + -2.75 = -8.75 -0.75t = -8.75 Divide each side by '-0.75'. t = 11.66666667 Simplifying t = 11.66666667
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