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Simplifying 7t + 4 = 2(7t + -5) Reorder the terms: 4 + 7t = 2(7t + -5) Reorder the terms: 4 + 7t = 2(-5 + 7t) 4 + 7t = (-5 * 2 + 7t * 2) 4 + 7t = (-10 + 14t) Solving 4 + 7t = -10 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. 4 + 7t + -14t = -10 + 14t + -14t Combine like terms: 7t + -14t = -7t 4 + -7t = -10 + 14t + -14t Combine like terms: 14t + -14t = 0 4 + -7t = -10 + 0 4 + -7t = -10 Add '-4' to each side of the equation. 4 + -4 + -7t = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7t = -10 + -4 -7t = -10 + -4 Combine like terms: -10 + -4 = -14 -7t = -14 Divide each side by '-7'. t = 2 Simplifying t = 2
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