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Simplifying -15 + 19t + 14 = 20t + 9 Reorder the terms: -15 + 14 + 19t = 20t + 9 Combine like terms: -15 + 14 = -1 -1 + 19t = 20t + 9 Reorder the terms: -1 + 19t = 9 + 20t Solving -1 + 19t = 9 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. -1 + 19t + -20t = 9 + 20t + -20t Combine like terms: 19t + -20t = -1t -1 + -1t = 9 + 20t + -20t Combine like terms: 20t + -20t = 0 -1 + -1t = 9 + 0 -1 + -1t = 9 Add '1' to each side of the equation. -1 + 1 + -1t = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -1t = 9 + 1 -1t = 9 + 1 Combine like terms: 9 + 1 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10
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