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Simplifying 10(-3t + -2t) + 10 + -2(6t + -13) = 0 Combine like terms: -3t + -2t = -5t 10(-5t) + 10 + -2(6t + -13) = 0 Remove parenthesis around (-5t) 10 * -5t + 10 + -2(6t + -13) = 0 Multiply 10 * -5 -50t + 10 + -2(6t + -13) = 0 Reorder the terms: -50t + 10 + -2(-13 + 6t) = 0 -50t + 10 + (-13 * -2 + 6t * -2) = 0 -50t + 10 + (26 + -12t) = 0 Reorder the terms: 10 + 26 + -50t + -12t = 0 Combine like terms: 10 + 26 = 36 36 + -50t + -12t = 0 Combine like terms: -50t + -12t = -62t 36 + -62t = 0 Solving 36 + -62t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -62t = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -62t = 0 + -36 -62t = 0 + -36 Combine like terms: 0 + -36 = -36 -62t = -36 Divide each side by '-62'. t = 0.5806451613 Simplifying t = 0.5806451613
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