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Simplifying t + -3 + 4t = 38(3t + -9) Reorder the terms: -3 + t + 4t = 38(3t + -9) Combine like terms: t + 4t = 5t -3 + 5t = 38(3t + -9) Reorder the terms: -3 + 5t = 38(-9 + 3t) -3 + 5t = (-9 * 38 + 3t * 38) -3 + 5t = (-342 + 114t) Solving -3 + 5t = -342 + 114t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-114t' to each side of the equation. -3 + 5t + -114t = -342 + 114t + -114t Combine like terms: 5t + -114t = -109t -3 + -109t = -342 + 114t + -114t Combine like terms: 114t + -114t = 0 -3 + -109t = -342 + 0 -3 + -109t = -342 Add '3' to each side of the equation. -3 + 3 + -109t = -342 + 3 Combine like terms: -3 + 3 = 0 0 + -109t = -342 + 3 -109t = -342 + 3 Combine like terms: -342 + 3 = -339 -109t = -339 Divide each side by '-109'. t = 3.110091743 Simplifying t = 3.110091743
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