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Simplifying -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 = -17t 4 + -17t = -14 + 10t + -10t Combine like terms: 10t + -10t = 0 4 + -17t = -14 + 0 4 + -17t = -14 Add '-4' to each side of the equation. 4 + -4 + -17t = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -17t = -14 + -4 -17t = -14 + -4 Combine like terms: -14 + -4 = -18 -17t = -18 Divide each side by '-17'. t = 1.058823529 Simplifying t = 1.058823529
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