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Simplifying 90 + -4t = 0.25(180 + -1t) 90 + -4t = (180 * 0.25 + -1t * 0.25) 90 + -4t = (45 + -0.25t) Solving 90 + -4t = 45 + -0.25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.25t' to each side of the equation. 90 + -4t + 0.25t = 45 + -0.25t + 0.25t Combine like terms: -4t + 0.25t = -3.75t 90 + -3.75t = 45 + -0.25t + 0.25t Combine like terms: -0.25t + 0.25t = 0.00 90 + -3.75t = 45 + 0.00 90 + -3.75t = 45 Add '-90' to each side of the equation. 90 + -90 + -3.75t = 45 + -90 Combine like terms: 90 + -90 = 0 0 + -3.75t = 45 + -90 -3.75t = 45 + -90 Combine like terms: 45 + -90 = -45 -3.75t = -45 Divide each side by '-3.75'. t = 12 Simplifying t = 12
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