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Simplifying 4t + -5 = -3(t + 4) Reorder the terms: -5 + 4t = -3(t + 4) Reorder the terms: -5 + 4t = -3(4 + t) -5 + 4t = (4 * -3 + t * -3) -5 + 4t = (-12 + -3t) Solving -5 + 4t = -12 + -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. -5 + 4t + 3t = -12 + -3t + 3t Combine like terms: 4t + 3t = 7t -5 + 7t = -12 + -3t + 3t Combine like terms: -3t + 3t = 0 -5 + 7t = -12 + 0 -5 + 7t = -12 Add '5' to each side of the equation. -5 + 5 + 7t = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 7t = -12 + 5 7t = -12 + 5 Combine like terms: -12 + 5 = -7 7t = -7 Divide each side by '7'. t = -1 Simplifying t = -1
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