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Simplifying -1.25t + 4 = 0.75(t + -8) Reorder the terms: 4 + -1.25t = 0.75(t + -8) Reorder the terms: 4 + -1.25t = 0.75(-8 + t) 4 + -1.25t = (-8 * 0.75 + t * 0.75) 4 + -1.25t = (-6 + 0.75t) Solving 4 + -1.25t = -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. 4 + -1.25t + -0.75t = -6 + 0.75t + -0.75t Combine like terms: -1.25t + -0.75t = -2t 4 + -2t = -6 + 0.75t + -0.75t Combine like terms: 0.75t + -0.75t = 0.00 4 + -2t = -6 + 0.00 4 + -2t = -6 Add '-4' to each side of the equation. 4 + -4 + -2t = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = -6 + -4 -2t = -6 + -4 Combine like terms: -6 + -4 = -10 -2t = -10 Divide each side by '-2'. t = 5 Simplifying t = 5
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