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Simplifying 13.99 + 3(t + -4) = 27.99 + -1t Reorder the terms: 13.99 + 3(-4 + t) = 27.99 + -1t 13.99 + (-4 * 3 + t * 3) = 27.99 + -1t 13.99 + (-12 + 3t) = 27.99 + -1t Combine like terms: 13.99 + -12 = 1.99 1.99 + 3t = 27.99 + -1t Solving 1.99 + 3t = 27.99 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 1.99 + 3t + t = 27.99 + -1t + t Combine like terms: 3t + t = 4t 1.99 + 4t = 27.99 + -1t + t Combine like terms: -1t + t = 0 1.99 + 4t = 27.99 + 0 1.99 + 4t = 27.99 Add '-1.99' to each side of the equation. 1.99 + -1.99 + 4t = 27.99 + -1.99 Combine like terms: 1.99 + -1.99 = 0.00 0.00 + 4t = 27.99 + -1.99 4t = 27.99 + -1.99 Combine like terms: 27.99 + -1.99 = 26 4t = 26 Divide each side by '4'. t = 6.5 Simplifying t = 6.5
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