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Simplifying -5t + 3 = 4(t + -6) Reorder the terms: 3 + -5t = 4(t + -6) Reorder the terms: 3 + -5t = 4(-6 + t) 3 + -5t = (-6 * 4 + t * 4) 3 + -5t = (-24 + 4t) Solving 3 + -5t = -24 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 3 + -5t + -4t = -24 + 4t + -4t Combine like terms: -5t + -4t = -9t 3 + -9t = -24 + 4t + -4t Combine like terms: 4t + -4t = 0 3 + -9t = -24 + 0 3 + -9t = -24 Add '-3' to each side of the equation. 3 + -3 + -9t = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -9t = -24 + -3 -9t = -24 + -3 Combine like terms: -24 + -3 = -27 -9t = -27 Divide each side by '-9'. t = 3 Simplifying t = 3
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