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Simplifying 0.25(5t + -4) = t + 4(0.125) Reorder the terms: 0.25(-4 + 5t) = t + 4(0.125) (-4 * 0.25 + 5t * 0.25) = t + 4(0.125) (-1 + 1.25t) = t + 4(0.125) Multiply 4 * 0.125 -1 + 1.25t = t + 0.5 Reorder the terms: -1 + 1.25t = 0.5 + t Solving -1 + 1.25t = 0.5 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -1 + 1.25t + -1t = 0.5 + t + -1t Combine like terms: 1.25t + -1t = 0.25t -1 + 0.25t = 0.5 + t + -1t Combine like terms: t + -1t = 0 -1 + 0.25t = 0.5 + 0 -1 + 0.25t = 0.5 Add '1' to each side of the equation. -1 + 1 + 0.25t = 0.5 + 1 Combine like terms: -1 + 1 = 0 0 + 0.25t = 0.5 + 1 0.25t = 0.5 + 1 Combine like terms: 0.5 + 1 = 1.5 0.25t = 1.5 Divide each side by '0.25'. t = 6 Simplifying t = 6
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