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Simplifying 7(2t + -2) + 2(-5t + -1) = 0 Reorder the terms: 7(-2 + 2t) + 2(-5t + -1) = 0 (-2 * 7 + 2t * 7) + 2(-5t + -1) = 0 (-14 + 14t) + 2(-5t + -1) = 0 Reorder the terms: -14 + 14t + 2(-1 + -5t) = 0 -14 + 14t + (-1 * 2 + -5t * 2) = 0 -14 + 14t + (-2 + -10t) = 0 Reorder the terms: -14 + -2 + 14t + -10t = 0 Combine like terms: -14 + -2 = -16 -16 + 14t + -10t = 0 Combine like terms: 14t + -10t = 4t -16 + 4t = 0 Solving -16 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4t = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4t = 0 + 16 4t = 0 + 16 Combine like terms: 0 + 16 = 16 4t = 16 Divide each side by '4'. t = 4 Simplifying t = 4
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