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Simplifying 4 + 3t + -4t = 3(t + -2) Combine like terms: 3t + -4t = -1t 4 + -1t = 3(t + -2) Reorder the terms: 4 + -1t = 3(-2 + t) 4 + -1t = (-2 * 3 + t * 3) 4 + -1t = (-6 + 3t) Solving 4 + -1t = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 4 + -1t + -3t = -6 + 3t + -3t Combine like terms: -1t + -3t = -4t 4 + -4t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + -4t = -6 + 0 4 + -4t = -6 Add '-4' to each side of the equation. 4 + -4 + -4t = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -4t = -6 + -4 -4t = -6 + -4 Combine like terms: -6 + -4 = -10 -4t = -10 Divide each side by '-4'. t = 2.5 Simplifying t = 2.5
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