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Simplifying 4t + -9 = 5(t + 6) Reorder the terms: -9 + 4t = 5(t + 6) Reorder the terms: -9 + 4t = 5(6 + t) -9 + 4t = (6 * 5 + t * 5) -9 + 4t = (30 + 5t) Solving -9 + 4t = 30 + 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. -9 + 4t + -5t = 30 + 5t + -5t Combine like terms: 4t + -5t = -1t -9 + -1t = 30 + 5t + -5t Combine like terms: 5t + -5t = 0 -9 + -1t = 30 + 0 -9 + -1t = 30 Add '9' to each side of the equation. -9 + 9 + -1t = 30 + 9 Combine like terms: -9 + 9 = 0 0 + -1t = 30 + 9 -1t = 30 + 9 Combine like terms: 30 + 9 = 39 -1t = 39 Divide each side by '-1'. t = -39 Simplifying t = -39
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