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Simplifying 3(t + -8) + -2(4t + -7) = 6(t + 1) + -5 Reorder the terms: 3(-8 + t) + -2(4t + -7) = 6(t + 1) + -5 (-8 * 3 + t * 3) + -2(4t + -7) = 6(t + 1) + -5 (-24 + 3t) + -2(4t + -7) = 6(t + 1) + -5 Reorder the terms: -24 + 3t + -2(-7 + 4t) = 6(t + 1) + -5 -24 + 3t + (-7 * -2 + 4t * -2) = 6(t + 1) + -5 -24 + 3t + (14 + -8t) = 6(t + 1) + -5 Reorder the terms: -24 + 14 + 3t + -8t = 6(t + 1) + -5 Combine like terms: -24 + 14 = -10 -10 + 3t + -8t = 6(t + 1) + -5 Combine like terms: 3t + -8t = -5t -10 + -5t = 6(t + 1) + -5 Reorder the terms: -10 + -5t = 6(1 + t) + -5 -10 + -5t = (1 * 6 + t * 6) + -5 -10 + -5t = (6 + 6t) + -5 Reorder the terms: -10 + -5t = 6 + -5 + 6t Combine like terms: 6 + -5 = 1 -10 + -5t = 1 + 6t Solving -10 + -5t = 1 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -10 + -5t + -6t = 1 + 6t + -6t Combine like terms: -5t + -6t = -11t -10 + -11t = 1 + 6t + -6t Combine like terms: 6t + -6t = 0 -10 + -11t = 1 + 0 -10 + -11t = 1 Add '10' to each side of the equation. -10 + 10 + -11t = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -11t = 1 + 10 -11t = 1 + 10 Combine like terms: 1 + 10 = 11 -11t = 11 Divide each side by '-11'. t = -1 Simplifying t = -1
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