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Simplifying 5t + -10 = 2 + -1(t + 4) Reorder the terms: -10 + 5t = 2 + -1(t + 4) Reorder the terms: -10 + 5t = 2 + -1(4 + t) -10 + 5t = 2 + (4 * -1 + t * -1) -10 + 5t = 2 + (-4 + -1t) Combine like terms: 2 + -4 = -2 -10 + 5t = -2 + -1t Solving -10 + 5t = -2 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -10 + 5t + t = -2 + -1t + t Combine like terms: 5t + t = 6t -10 + 6t = -2 + -1t + t Combine like terms: -1t + t = 0 -10 + 6t = -2 + 0 -10 + 6t = -2 Add '10' to each side of the equation. -10 + 10 + 6t = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 6t = -2 + 10 6t = -2 + 10 Combine like terms: -2 + 10 = 8 6t = 8 Divide each side by '6'. t = 1.333333333 Simplifying t = 1.333333333
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