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Simplifying -2(t + 4) + 6t = 7t + -1 Reorder the terms: -2(4 + t) + 6t = 7t + -1 (4 * -2 + t * -2) + 6t = 7t + -1 (-8 + -2t) + 6t = 7t + -1 Combine like terms: -2t + 6t = 4t -8 + 4t = 7t + -1 Reorder the terms: -8 + 4t = -1 + 7t Solving -8 + 4t = -1 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -8 + 4t + -7t = -1 + 7t + -7t Combine like terms: 4t + -7t = -3t -8 + -3t = -1 + 7t + -7t Combine like terms: 7t + -7t = 0 -8 + -3t = -1 + 0 -8 + -3t = -1 Add '8' to each side of the equation. -8 + 8 + -3t = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -3t = -1 + 8 -3t = -1 + 8 Combine like terms: -1 + 8 = 7 -3t = 7 Divide each side by '-3'. t = -2.333333333 Simplifying t = -2.333333333
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