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Simplifying 3t + -9 = 4(t + 5) Reorder the terms: -9 + 3t = 4(t + 5) Reorder the terms: -9 + 3t = 4(5 + t) -9 + 3t = (5 * 4 + t * 4) -9 + 3t = (20 + 4t) Solving -9 + 3t = 20 + 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. -9 + 3t + -4t = 20 + 4t + -4t Combine like terms: 3t + -4t = -1t -9 + -1t = 20 + 4t + -4t Combine like terms: 4t + -4t = 0 -9 + -1t = 20 + 0 -9 + -1t = 20 Add '9' to each side of the equation. -9 + 9 + -1t = 20 + 9 Combine like terms: -9 + 9 = 0 0 + -1t = 20 + 9 -1t = 20 + 9 Combine like terms: 20 + 9 = 29 -1t = 29 Divide each side by '-1'. t = -29 Simplifying t = -29
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