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Simplifying -6(2t + 7) + 4(t + -5) = 0 Reorder the terms: -6(7 + 2t) + 4(t + -5) = 0 (7 * -6 + 2t * -6) + 4(t + -5) = 0 (-42 + -12t) + 4(t + -5) = 0 Reorder the terms: -42 + -12t + 4(-5 + t) = 0 -42 + -12t + (-5 * 4 + t * 4) = 0 -42 + -12t + (-20 + 4t) = 0 Reorder the terms: -42 + -20 + -12t + 4t = 0 Combine like terms: -42 + -20 = -62 -62 + -12t + 4t = 0 Combine like terms: -12t + 4t = -8t -62 + -8t = 0 Solving -62 + -8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -8t = 0 + 62 Combine like terms: -62 + 62 = 0 0 + -8t = 0 + 62 -8t = 0 + 62 Combine like terms: 0 + 62 = 62 -8t = 62 Divide each side by '-8'. t = -7.75 Simplifying t = -7.75
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