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Simplifying 38.75 + -55t = 45(t + -0.25) Reorder the terms: 38.75 + -55t = 45(-0.25 + t) 38.75 + -55t = (-0.25 * 45 + t * 45) 38.75 + -55t = (-11.25 + 45t) Solving 38.75 + -55t = -11.25 + 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. 38.75 + -55t + -45t = -11.25 + 45t + -45t Combine like terms: -55t + -45t = -100t 38.75 + -100t = -11.25 + 45t + -45t Combine like terms: 45t + -45t = 0 38.75 + -100t = -11.25 + 0 38.75 + -100t = -11.25 Add '-38.75' to each side of the equation. 38.75 + -38.75 + -100t = -11.25 + -38.75 Combine like terms: 38.75 + -38.75 = 0.00 0.00 + -100t = -11.25 + -38.75 -100t = -11.25 + -38.75 Combine like terms: -11.25 + -38.75 = -50 -100t = -50 Divide each side by '-100'. t = 0.5 Simplifying t = 0.5
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