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Simplifying 4t + -4(t + -2) = t + 6 Reorder the terms: 4t + -4(-2 + t) = t + 6 4t + (-2 * -4 + t * -4) = t + 6 4t + (8 + -4t) = t + 6 Reorder the terms: 8 + 4t + -4t = t + 6 Combine like terms: 4t + -4t = 0 8 + 0 = t + 6 8 = t + 6 Reorder the terms: 8 = 6 + t Solving 8 = 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. 8 + -1t = 6 + t + -1t Combine like terms: t + -1t = 0 8 + -1t = 6 + 0 8 + -1t = 6 Add '-8' to each side of the equation. 8 + -8 + -1t = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 6 + -8 -1t = 6 + -8 Combine like terms: 6 + -8 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2
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