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Simplifying 5 + -4(t + 1) = t + 6 Reorder the terms: 5 + -4(1 + t) = t + 6 5 + (1 * -4 + t * -4) = t + 6 5 + (-4 + -4t) = t + 6 Combine like terms: 5 + -4 = 1 1 + -4t = t + 6 Reorder the terms: 1 + -4t = 6 + t Solving 1 + -4t = 6 + 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. 1 + -4t + -1t = 6 + t + -1t Combine like terms: -4t + -1t = -5t 1 + -5t = 6 + t + -1t Combine like terms: t + -1t = 0 1 + -5t = 6 + 0 1 + -5t = 6 Add '-1' to each side of the equation. 1 + -1 + -5t = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5t = 6 + -1 -5t = 6 + -1 Combine like terms: 6 + -1 = 5 -5t = 5 Divide each side by '-5'. t = -1 Simplifying t = -1
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