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Simplifying -2(t + -5) + 6t = 7t + -3 Reorder the terms: -2(-5 + t) + 6t = 7t + -3 (-5 * -2 + t * -2) + 6t = 7t + -3 (10 + -2t) + 6t = 7t + -3 Combine like terms: -2t + 6t = 4t 10 + 4t = 7t + -3 Reorder the terms: 10 + 4t = -3 + 7t Solving 10 + 4t = -3 + 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. 10 + 4t + -7t = -3 + 7t + -7t Combine like terms: 4t + -7t = -3t 10 + -3t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -3t = -3 + 0 10 + -3t = -3 Add '-10' to each side of the equation. 10 + -10 + -3t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = -3 + -10 -3t = -3 + -10 Combine like terms: -3 + -10 = -13 -3t = -13 Divide each side by '-3'. t = 4.333333333 Simplifying t = 4.333333333
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