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Simplifying 18 + 13t + 11 = 17t + -19 Reorder the terms: 18 + 11 + 13t = 17t + -19 Combine like terms: 18 + 11 = 29 29 + 13t = 17t + -19 Reorder the terms: 29 + 13t = -19 + 17t Solving 29 + 13t = -19 + 17t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17t' to each side of the equation. 29 + 13t + -17t = -19 + 17t + -17t Combine like terms: 13t + -17t = -4t 29 + -4t = -19 + 17t + -17t Combine like terms: 17t + -17t = 0 29 + -4t = -19 + 0 29 + -4t = -19 Add '-29' to each side of the equation. 29 + -29 + -4t = -19 + -29 Combine like terms: 29 + -29 = 0 0 + -4t = -19 + -29 -4t = -19 + -29 Combine like terms: -19 + -29 = -48 -4t = -48 Divide each side by '-4'. t = 12 Simplifying t = 12
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