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Simplifying 4t + -3(3t + 1) = 5t + -4 Reorder the terms: 4t + -3(1 + 3t) = 5t + -4 4t + (1 * -3 + 3t * -3) = 5t + -4 4t + (-3 + -9t) = 5t + -4 Reorder the terms: -3 + 4t + -9t = 5t + -4 Combine like terms: 4t + -9t = -5t -3 + -5t = 5t + -4 Reorder the terms: -3 + -5t = -4 + 5t Solving -3 + -5t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -3 + -5t + -5t = -4 + 5t + -5t Combine like terms: -5t + -5t = -10t -3 + -10t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 -3 + -10t = -4 + 0 -3 + -10t = -4 Add '3' to each side of the equation. -3 + 3 + -10t = -4 + 3 Combine like terms: -3 + 3 = 0 0 + -10t = -4 + 3 -10t = -4 + 3 Combine like terms: -4 + 3 = -1 -10t = -1 Divide each side by '-10'. t = 0.1 Simplifying t = 0.1
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