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Simplifying 3t + -5 = 6(t + -4) Reorder the terms: -5 + 3t = 6(t + -4) Reorder the terms: -5 + 3t = 6(-4 + t) -5 + 3t = (-4 * 6 + t * 6) -5 + 3t = (-24 + 6t) Solving -5 + 3t = -24 + 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. -5 + 3t + -6t = -24 + 6t + -6t Combine like terms: 3t + -6t = -3t -5 + -3t = -24 + 6t + -6t Combine like terms: 6t + -6t = 0 -5 + -3t = -24 + 0 -5 + -3t = -24 Add '5' to each side of the equation. -5 + 5 + -3t = -24 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = -24 + 5 -3t = -24 + 5 Combine like terms: -24 + 5 = -19 -3t = -19 Divide each side by '-3'. t = 6.333333333 Simplifying t = 6.333333333
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