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Simplifying (7 + -3t) + -5(1.6t + 5) = 0 Remove parenthesis around (7 + -3t) 7 + -3t + -5(1.6t + 5) = 0 Reorder the terms: 7 + -3t + -5(5 + 1.6t) = 0 7 + -3t + (5 * -5 + 1.6t * -5) = 0 7 + -3t + (-25 + -8t) = 0 Reorder the terms: 7 + -25 + -3t + -8t = 0 Combine like terms: 7 + -25 = -18 -18 + -3t + -8t = 0 Combine like terms: -3t + -8t = -11t -18 + -11t = 0 Solving -18 + -11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -11t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -11t = 0 + 18 -11t = 0 + 18 Combine like terms: 0 + 18 = 18 -11t = 18 Divide each side by '-11'. t = -1.636363636 Simplifying t = -1.636363636
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