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Simplifying -1(t + -2) = 4(t + -15) Reorder the terms: -1(-2 + t) = 4(t + -15) (-2 * -1 + t * -1) = 4(t + -15) (2 + -1t) = 4(t + -15) Reorder the terms: 2 + -1t = 4(-15 + t) 2 + -1t = (-15 * 4 + t * 4) 2 + -1t = (-60 + 4t) Solving 2 + -1t = -60 + 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 = -60 + 4t + -4t Combine like terms: -1t + -4t = -5t 2 + -5t = -60 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -5t = -60 + 0 2 + -5t = -60 Add '-2' to each side of the equation. 2 + -2 + -5t = -60 + -2 Combine like terms: 2 + -2 = 0 0 + -5t = -60 + -2 -5t = -60 + -2 Combine like terms: -60 + -2 = -62 -5t = -62 Divide each side by '-5'. t = 12.4 Simplifying t = 12.4
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