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Simplifying -1t + 2 = -5 + 4(t + -2) Reorder the terms: 2 + -1t = -5 + 4(t + -2) Reorder the terms: 2 + -1t = -5 + 4(-2 + t) 2 + -1t = -5 + (-2 * 4 + t * 4) 2 + -1t = -5 + (-8 + 4t) Combine like terms: -5 + -8 = -13 2 + -1t = -13 + 4t Solving 2 + -1t = -13 + 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. 2 + -1t + -4t = -13 + 4t + -4t Combine like terms: -1t + -4t = -5t 2 + -5t = -13 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -5t = -13 + 0 2 + -5t = -13 Add '-2' to each side of the equation. 2 + -2 + -5t = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -5t = -13 + -2 -5t = -13 + -2 Combine like terms: -13 + -2 = -15 -5t = -15 Divide each side by '-5'. t = 3 Simplifying t = 3
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