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