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Simplifying 5(t + -5) + 2(3t + -6) = 0 Reorder the terms: 5(-5 + t) + 2(3t + -6) = 0 (-5 * 5 + t * 5) + 2(3t + -6) = 0 (-25 + 5t) + 2(3t + -6) = 0 Reorder the terms: -25 + 5t + 2(-6 + 3t) = 0 -25 + 5t + (-6 * 2 + 3t * 2) = 0 -25 + 5t + (-12 + 6t) = 0 Reorder the terms: -25 + -12 + 5t + 6t = 0 Combine like terms: -25 + -12 = -37 -37 + 5t + 6t = 0 Combine like terms: 5t + 6t = 11t -37 + 11t = 0 Solving -37 + 11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 11t = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 11t = 0 + 37 11t = 0 + 37 Combine like terms: 0 + 37 = 37 11t = 37 Divide each side by '11'. t = 3.363636364 Simplifying t = 3.363636364
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