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Simplifying 14(t + -2) + 7t = (3t + 4) + -10 Reorder the terms: 14(-2 + t) + 7t = (3t + 4) + -10 (-2 * 14 + t * 14) + 7t = (3t + 4) + -10 (-28 + 14t) + 7t = (3t + 4) + -10 Combine like terms: 14t + 7t = 21t -28 + 21t = (3t + 4) + -10 Reorder the terms: -28 + 21t = (4 + 3t) + -10 Remove parenthesis around (4 + 3t) -28 + 21t = 4 + 3t + -10 Reorder the terms: -28 + 21t = 4 + -10 + 3t Combine like terms: 4 + -10 = -6 -28 + 21t = -6 + 3t Solving -28 + 21t = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -28 + 21t + -3t = -6 + 3t + -3t Combine like terms: 21t + -3t = 18t -28 + 18t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -28 + 18t = -6 + 0 -28 + 18t = -6 Add '28' to each side of the equation. -28 + 28 + 18t = -6 + 28 Combine like terms: -28 + 28 = 0 0 + 18t = -6 + 28 18t = -6 + 28 Combine like terms: -6 + 28 = 22 18t = 22 Divide each side by '18'. t = 1.222222222 Simplifying t = 1.222222222
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