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Simplifying -3(t + 5) + 2 = 4t + 8 Reorder the terms: -3(5 + t) + 2 = 4t + 8 (5 * -3 + t * -3) + 2 = 4t + 8 (-15 + -3t) + 2 = 4t + 8 Reorder the terms: -15 + 2 + -3t = 4t + 8 Combine like terms: -15 + 2 = -13 -13 + -3t = 4t + 8 Reorder the terms: -13 + -3t = 8 + 4t Solving -13 + -3t = 8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -13 + -3t + -4t = 8 + 4t + -4t Combine like terms: -3t + -4t = -7t -13 + -7t = 8 + 4t + -4t Combine like terms: 4t + -4t = 0 -13 + -7t = 8 + 0 -13 + -7t = 8 Add '13' to each side of the equation. -13 + 13 + -7t = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -7t = 8 + 13 -7t = 8 + 13 Combine like terms: 8 + 13 = 21 -7t = 21 Divide each side by '-7'. t = -3 Simplifying t = -3
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