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Simplifying 4(5t + -6) + -7(t + 1) = 0 Reorder the terms: 4(-6 + 5t) + -7(t + 1) = 0 (-6 * 4 + 5t * 4) + -7(t + 1) = 0 (-24 + 20t) + -7(t + 1) = 0 Reorder the terms: -24 + 20t + -7(1 + t) = 0 -24 + 20t + (1 * -7 + t * -7) = 0 -24 + 20t + (-7 + -7t) = 0 Reorder the terms: -24 + -7 + 20t + -7t = 0 Combine like terms: -24 + -7 = -31 -31 + 20t + -7t = 0 Combine like terms: 20t + -7t = 13t -31 + 13t = 0 Solving -31 + 13t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 13t = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 13t = 0 + 31 13t = 0 + 31 Combine like terms: 0 + 31 = 31 13t = 31 Divide each side by '13'. t = 2.384615385 Simplifying t = 2.384615385
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