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Simplifying 5 + -4(t + -2) = t + 8 Reorder the terms: 5 + -4(-2 + t) = t + 8 5 + (-2 * -4 + t * -4) = t + 8 5 + (8 + -4t) = t + 8 Combine like terms: 5 + 8 = 13 13 + -4t = t + 8 Reorder the terms: 13 + -4t = 8 + t Solving 13 + -4t = 8 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 13 + -4t + -1t = 8 + t + -1t Combine like terms: -4t + -1t = -5t 13 + -5t = 8 + t + -1t Combine like terms: t + -1t = 0 13 + -5t = 8 + 0 13 + -5t = 8 Add '-13' to each side of the equation. 13 + -13 + -5t = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -5t = 8 + -13 -5t = 8 + -13 Combine like terms: 8 + -13 = -5 -5t = -5 Divide each side by '-5'. t = 1 Simplifying t = 1
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