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Simplifying -4(t + 2) = 3t + 5 Reorder the terms: -4(2 + t) = 3t + 5 (2 * -4 + t * -4) = 3t + 5 (-8 + -4t) = 3t + 5 Reorder the terms: -8 + -4t = 5 + 3t Solving -8 + -4t = 5 + 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. -8 + -4t + -3t = 5 + 3t + -3t Combine like terms: -4t + -3t = -7t -8 + -7t = 5 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + -7t = 5 + 0 -8 + -7t = 5 Add '8' to each side of the equation. -8 + 8 + -7t = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -7t = 5 + 8 -7t = 5 + 8 Combine like terms: 5 + 8 = 13 -7t = 13 Divide each side by '-7'. t = -1.857142857 Simplifying t = -1.857142857
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